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Finding the Third Proportional to 747,828.70 and 1,630,966.64

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Solution

The third proportional to 747,828.70 and 1,630,966.64 is: 3,557,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,828.70 : 1,630,966.64 = 1,630,966.64 : x
  2. Step 2: Convert to fraction form
    747,828.70/1,630,966.64 = 1,630,966.64/x
  3. Step 3: Cross multiply
    747,828.70x = 1,630,966.64 × 1,630,966.64
  4. Step 4: Simplify right side
    747,828.70x = 2,660,052,182,831.60
  5. Step 5: Solve for x
    x = 2,660,052,182,831.60/747,828.70
  6. Step 6: Final answer
    x = 3,557,034.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.