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Finding the Third Proportional to 439,061 and 912,565

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Solution

The third proportional to 439,061 and 912,565 is: 1,896,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,061 : 912,565 = 912,565 : x
  2. Step 2: Convert to fraction form
    439,061/912,565 = 912,565/x
  3. Step 3: Cross multiply
    439,061x = 912,565 × 912,565
  4. Step 4: Simplify right side
    439,061x = 832,774,879,225
  5. Step 5: Solve for x
    x = 832,774,879,225/439,061
  6. Step 6: Final answer
    x = 1,896,717.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.