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Finding the Third Proportional to 971,034.75 and 1,456,565.63

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Solution

The third proportional to 971,034.75 and 1,456,565.63 is: 2,184,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,034.75 : 1,456,565.63 = 1,456,565.63 : x
  2. Step 2: Convert to fraction form
    971,034.75/1,456,565.63 = 1,456,565.63/x
  3. Step 3: Cross multiply
    971,034.75x = 1,456,565.63 × 1,456,565.63
  4. Step 4: Simplify right side
    971,034.75x = 2,121,583,419,931.64
  5. Step 5: Solve for x
    x = 2,121,583,419,931.64/971,034.75
  6. Step 6: Final answer
    x = 2,184,868.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.