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Finding the Third Proportional to 4,407,984 and 6,678,522

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Solution

The third proportional to 4,407,984 and 6,678,522 is: 10,118,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,984 : 6,678,522 = 6,678,522 : x
  2. Step 2: Convert to fraction form
    4,407,984/6,678,522 = 6,678,522/x
  3. Step 3: Cross multiply
    4,407,984x = 6,678,522 × 6,678,522
  4. Step 4: Simplify right side
    4,407,984x = 44,602,656,104,484
  5. Step 5: Solve for x
    x = 44,602,656,104,484/4,407,984
  6. Step 6: Final answer
    x = 10,118,606.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.