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Finding the Third Proportional to 4,204,294.88 and 6,492,762.56

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Solution

The third proportional to 4,204,294.88 and 6,492,762.56 is: 10,026,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204,294.88 : 6,492,762.56 = 6,492,762.56 : x
  2. Step 2: Convert to fraction form
    4,204,294.88/6,492,762.56 = 6,492,762.56/x
  3. Step 3: Cross multiply
    4,204,294.88x = 6,492,762.56 × 6,492,762.56
  4. Step 4: Simplify right side
    4,204,294.88x = 42,155,965,693,001.56
  5. Step 5: Solve for x
    x = 42,155,965,693,001.56/4,204,294.88
  6. Step 6: Final answer
    x = 10,026,881.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.