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Finding the Third Proportional to 726,202 and 1,595,748

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Solution

The third proportional to 726,202 and 1,595,748 is: 3,506,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,202 : 1,595,748 = 1,595,748 : x
  2. Step 2: Convert to fraction form
    726,202/1,595,748 = 1,595,748/x
  3. Step 3: Cross multiply
    726,202x = 1,595,748 × 1,595,748
  4. Step 4: Simplify right side
    726,202x = 2,546,411,679,504
  5. Step 5: Solve for x
    x = 2,546,411,679,504/726,202
  6. Step 6: Final answer
    x = 3,506,478.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.