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Finding the Third Proportional to 784,527 and 1,693,470

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Solution

The third proportional to 784,527 and 1,693,470 is: 3,655,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,527 : 1,693,470 = 1,693,470 : x
  2. Step 2: Convert to fraction form
    784,527/1,693,470 = 1,693,470/x
  3. Step 3: Cross multiply
    784,527x = 1,693,470 × 1,693,470
  4. Step 4: Simplify right side
    784,527x = 2,867,840,640,900
  5. Step 5: Solve for x
    x = 2,867,840,640,900/784,527
  6. Step 6: Final answer
    x = 3,655,502.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.