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Finding the Third Proportional to 5,421,862 and 7,228,341

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Solution

The third proportional to 5,421,862 and 7,228,341 is: 9,636,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,862 : 7,228,341 = 7,228,341 : x
  2. Step 2: Convert to fraction form
    5,421,862/7,228,341 = 7,228,341/x
  3. Step 3: Cross multiply
    5,421,862x = 7,228,341 × 7,228,341
  4. Step 4: Simplify right side
    5,421,862x = 52,248,913,612,281
  5. Step 5: Solve for x
    x = 52,248,913,612,281/5,421,862
  6. Step 6: Final answer
    x = 9,636,710.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.