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Finding the Third Proportional to 581,011 and 1,258,534

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Solution

The third proportional to 581,011 and 1,258,534 is: 2,726,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,011 : 1,258,534 = 1,258,534 : x
  2. Step 2: Convert to fraction form
    581,011/1,258,534 = 1,258,534/x
  3. Step 3: Cross multiply
    581,011x = 1,258,534 × 1,258,534
  4. Step 4: Simplify right side
    581,011x = 1,583,907,829,156
  5. Step 5: Solve for x
    x = 1,583,907,829,156/581,011
  6. Step 6: Final answer
    x = 2,726,123.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.