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Finding the Third Proportional to 762,572 and 1,506,008

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Solution

The third proportional to 762,572 and 1,506,008 is: 2,974,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,572 : 1,506,008 = 1,506,008 : x
  2. Step 2: Convert to fraction form
    762,572/1,506,008 = 1,506,008/x
  3. Step 3: Cross multiply
    762,572x = 1,506,008 × 1,506,008
  4. Step 4: Simplify right side
    762,572x = 2,268,060,096,064
  5. Step 5: Solve for x
    x = 2,268,060,096,064/762,572
  6. Step 6: Final answer
    x = 2,974,224.20

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.