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Finding the Third Proportional to 984,332 and 1,407,586

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Solution

The third proportional to 984,332 and 1,407,586 is: 2,012,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,332 : 1,407,586 = 1,407,586 : x
  2. Step 2: Convert to fraction form
    984,332/1,407,586 = 1,407,586/x
  3. Step 3: Cross multiply
    984,332x = 1,407,586 × 1,407,586
  4. Step 4: Simplify right side
    984,332x = 1,981,298,347,396
  5. Step 5: Solve for x
    x = 1,981,298,347,396/984,332
  6. Step 6: Final answer
    x = 2,012,835.45

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Why These Related Problems?

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