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Finding the Third Proportional to 454,592 and 971,776

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Solution

The third proportional to 454,592 and 971,776 is: 2,077,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,592 : 971,776 = 971,776 : x
  2. Step 2: Convert to fraction form
    454,592/971,776 = 971,776/x
  3. Step 3: Cross multiply
    454,592x = 971,776 × 971,776
  4. Step 4: Simplify right side
    454,592x = 944,348,594,176
  5. Step 5: Solve for x
    x = 944,348,594,176/454,592
  6. Step 6: Final answer
    x = 2,077,354.19

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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.