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Finding the Third Proportional to 724,209 and 1,064,124

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Solution

The third proportional to 724,209 and 1,064,124 is: 1,563,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,209 : 1,064,124 = 1,064,124 : x
  2. Step 2: Convert to fraction form
    724,209/1,064,124 = 1,064,124/x
  3. Step 3: Cross multiply
    724,209x = 1,064,124 × 1,064,124
  4. Step 4: Simplify right side
    724,209x = 1,132,359,887,376
  5. Step 5: Solve for x
    x = 1,132,359,887,376/724,209
  6. Step 6: Final answer
    x = 1,563,581.63

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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.