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Finding the Third Proportional to 429,386 and 925,748

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Solution

The third proportional to 429,386 and 925,748 is: 1,995,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,386 : 925,748 = 925,748 : x
  2. Step 2: Convert to fraction form
    429,386/925,748 = 925,748/x
  3. Step 3: Cross multiply
    429,386x = 925,748 × 925,748
  4. Step 4: Simplify right side
    429,386x = 857,009,359,504
  5. Step 5: Solve for x
    x = 857,009,359,504/429,386
  6. Step 6: Final answer
    x = 1,995,894.97

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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.