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Finding the Third Proportional to 3,644,282 and 5,657,421

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Solution

The third proportional to 3,644,282 and 5,657,421 is: 8,782,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,282 : 5,657,421 = 5,657,421 : x
  2. Step 2: Convert to fraction form
    3,644,282/5,657,421 = 5,657,421/x
  3. Step 3: Cross multiply
    3,644,282x = 5,657,421 × 5,657,421
  4. Step 4: Simplify right side
    3,644,282x = 32,006,412,371,241
  5. Step 5: Solve for x
    x = 32,006,412,371,241/3,644,282
  6. Step 6: Final answer
    x = 8,782,638.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.