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Finding the Third Proportional to 450,972 and 971,712

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Solution

The third proportional to 450,972 and 971,712 is: 2,093,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,972 : 971,712 = 971,712 : x
  2. Step 2: Convert to fraction form
    450,972/971,712 = 971,712/x
  3. Step 3: Cross multiply
    450,972x = 971,712 × 971,712
  4. Step 4: Simplify right side
    450,972x = 944,224,210,944
  5. Step 5: Solve for x
    x = 944,224,210,944/450,972
  6. Step 6: Final answer
    x = 2,093,753.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.