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Finding the Third Proportional to 605,637 and 940,437

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Solution

The third proportional to 605,637 and 940,437 is: 1,460,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,637 : 940,437 = 940,437 : x
  2. Step 2: Convert to fraction form
    605,637/940,437 = 940,437/x
  3. Step 3: Cross multiply
    605,637x = 940,437 × 940,437
  4. Step 4: Simplify right side
    605,637x = 884,421,750,969
  5. Step 5: Solve for x
    x = 884,421,750,969/605,637
  6. Step 6: Final answer
    x = 1,460,316.58

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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.