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Finding the Third Proportional to 984,294 and 1,407,537

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Solution

The third proportional to 984,294 and 1,407,537 is: 2,012,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,294 : 1,407,537 = 1,407,537 : x
  2. Step 2: Convert to fraction form
    984,294/1,407,537 = 1,407,537/x
  3. Step 3: Cross multiply
    984,294x = 1,407,537 × 1,407,537
  4. Step 4: Simplify right side
    984,294x = 1,981,160,406,369
  5. Step 5: Solve for x
    x = 1,981,160,406,369/984,294
  6. Step 6: Final answer
    x = 2,012,773.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.