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Finding the Third Proportional to 974,352 and 2,125,304

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Solution

The third proportional to 974,352 and 2,125,304 is: 4,635,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,352 : 2,125,304 = 2,125,304 : x
  2. Step 2: Convert to fraction form
    974,352/2,125,304 = 2,125,304/x
  3. Step 3: Cross multiply
    974,352x = 2,125,304 × 2,125,304
  4. Step 4: Simplify right side
    974,352x = 4,516,917,092,416
  5. Step 5: Solve for x
    x = 4,516,917,092,416/974,352
  6. Step 6: Final answer
    x = 4,635,816.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.