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Finding the Third Proportional to 726,154 and 1,065,900

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Solution

The third proportional to 726,154 and 1,065,900 is: 1,564,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,154 : 1,065,900 = 1,065,900 : x
  2. Step 2: Convert to fraction form
    726,154/1,065,900 = 1,065,900/x
  3. Step 3: Cross multiply
    726,154x = 1,065,900 × 1,065,900
  4. Step 4: Simplify right side
    726,154x = 1,136,142,810,000
  5. Step 5: Solve for x
    x = 1,136,142,810,000/726,154
  6. Step 6: Final answer
    x = 1,564,603.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.