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Finding the Third Proportional to 593,076 and 917,982

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Solution

The third proportional to 593,076 and 917,982 is: 1,420,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,076 : 917,982 = 917,982 : x
  2. Step 2: Convert to fraction form
    593,076/917,982 = 917,982/x
  3. Step 3: Cross multiply
    593,076x = 917,982 × 917,982
  4. Step 4: Simplify right side
    593,076x = 842,690,952,324
  5. Step 5: Solve for x
    x = 842,690,952,324/593,076
  6. Step 6: Final answer
    x = 1,420,881.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.