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Finding the Third Proportional to 857,559 and 1,693,428

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Solution

The third proportional to 857,559 and 1,693,428 is: 3,344,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,559 : 1,693,428 = 1,693,428 : x
  2. Step 2: Convert to fraction form
    857,559/1,693,428 = 1,693,428/x
  3. Step 3: Cross multiply
    857,559x = 1,693,428 × 1,693,428
  4. Step 4: Simplify right side
    857,559x = 2,867,698,391,184
  5. Step 5: Solve for x
    x = 2,867,698,391,184/857,559
  6. Step 6: Final answer
    x = 3,344,024.60

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Why These Related Problems?

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