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Finding the Third Proportional to 2,300,386.50 and 4,838,745

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Solution

The third proportional to 2,300,386.50 and 4,838,745 is: 10,178,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,386.50 : 4,838,745 = 4,838,745 : x
  2. Step 2: Convert to fraction form
    2,300,386.50/4,838,745 = 4,838,745/x
  3. Step 3: Cross multiply
    2,300,386.50x = 4,838,745 × 4,838,745
  4. Step 4: Simplify right side
    2,300,386.50x = 23,413,453,175,025
  5. Step 5: Solve for x
    x = 23,413,453,175,025/2,300,386.50
  6. Step 6: Final answer
    x = 10,178,051.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.