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Finding the Third Proportional to 593,810 and 917,391

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Solution

The third proportional to 593,810 and 917,391 is: 1,417,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,810 : 917,391 = 917,391 : x
  2. Step 2: Convert to fraction form
    593,810/917,391 = 917,391/x
  3. Step 3: Cross multiply
    593,810x = 917,391 × 917,391
  4. Step 4: Simplify right side
    593,810x = 841,606,246,881
  5. Step 5: Solve for x
    x = 841,606,246,881/593,810
  6. Step 6: Final answer
    x = 1,417,298.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.