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Finding the Third Proportional to 2,319,262.24 and 4,700,853.98

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Solution

The third proportional to 2,319,262.24 and 4,700,853.98 is: 9,528,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319,262.24 : 4,700,853.98 = 4,700,853.98 : x
  2. Step 2: Convert to fraction form
    2,319,262.24/4,700,853.98 = 4,700,853.98/x
  3. Step 3: Cross multiply
    2,319,262.24x = 4,700,853.98 × 4,700,853.98
  4. Step 4: Simplify right side
    2,319,262.24x = 22,098,028,182,414.31
  5. Step 5: Solve for x
    x = 22,098,028,182,414.31/2,319,262.24
  6. Step 6: Final answer
    x = 9,528,042.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.