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Finding the Third Proportional to 727,948 and 1,531,169

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Solution

The third proportional to 727,948 and 1,531,169 is: 3,220,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,948 : 1,531,169 = 1,531,169 : x
  2. Step 2: Convert to fraction form
    727,948/1,531,169 = 1,531,169/x
  3. Step 3: Cross multiply
    727,948x = 1,531,169 × 1,531,169
  4. Step 4: Simplify right side
    727,948x = 2,344,478,506,561
  5. Step 5: Solve for x
    x = 2,344,478,506,561/727,948
  6. Step 6: Final answer
    x = 3,220,667.56

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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.