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Finding the Third Proportional to 454,594 and 971,780

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Solution

The third proportional to 454,594 and 971,780 is: 2,077,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,594 : 971,780 = 971,780 : x
  2. Step 2: Convert to fraction form
    454,594/971,780 = 971,780/x
  3. Step 3: Cross multiply
    454,594x = 971,780 × 971,780
  4. Step 4: Simplify right side
    454,594x = 944,356,368,400
  5. Step 5: Solve for x
    x = 944,356,368,400/454,594
  6. Step 6: Final answer
    x = 2,077,362.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.