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Finding the Third Proportional to 4,725,234 and 6,988,221

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Solution

The third proportional to 4,725,234 and 6,988,221 is: 10,334,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,234 : 6,988,221 = 6,988,221 : x
  2. Step 2: Convert to fraction form
    4,725,234/6,988,221 = 6,988,221/x
  3. Step 3: Cross multiply
    4,725,234x = 6,988,221 × 6,988,221
  4. Step 4: Simplify right side
    4,725,234x = 48,835,232,744,841
  5. Step 5: Solve for x
    x = 48,835,232,744,841/4,725,234
  6. Step 6: Final answer
    x = 10,334,987.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.