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Finding the Third Proportional to 589,258,458.75 and 819,316,786.50

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Solution

The third proportional to 589,258,458.75 and 819,316,786.50 is: 1,139,194,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,258,458.75 : 819,316,786.50 = 819,316,786.50 : x
  2. Step 2: Convert to fraction form
    589,258,458.75/819,316,786.50 = 819,316,786.50/x
  3. Step 3: Cross multiply
    589,258,458.75x = 819,316,786.50 × 819,316,786.50
  4. Step 4: Simplify right side
    589,258,458.75x = 671,279,996,640,686,592
  5. Step 5: Solve for x
    x = 671,279,996,640,686,592/589,258,458.75
  6. Step 6: Final answer
    x = 1,139,194,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.