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Finding the Third Proportional to 3,370,597 and 4,769,292

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Solution

The third proportional to 3,370,597 and 4,769,292 is: 6,748,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370,597 : 4,769,292 = 4,769,292 : x
  2. Step 2: Convert to fraction form
    3,370,597/4,769,292 = 4,769,292/x
  3. Step 3: Cross multiply
    3,370,597x = 4,769,292 × 4,769,292
  4. Step 4: Simplify right side
    3,370,597x = 22,746,146,181,264
  5. Step 5: Solve for x
    x = 22,746,146,181,264/3,370,597
  6. Step 6: Final answer
    x = 6,748,402.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.