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Finding the Third Proportional to 614,804 and 940,862

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Solution

The third proportional to 614,804 and 940,862 is: 1,439,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,804 : 940,862 = 940,862 : x
  2. Step 2: Convert to fraction form
    614,804/940,862 = 940,862/x
  3. Step 3: Cross multiply
    614,804x = 940,862 × 940,862
  4. Step 4: Simplify right side
    614,804x = 885,221,303,044
  5. Step 5: Solve for x
    x = 885,221,303,044/614,804
  6. Step 6: Final answer
    x = 1,439,843.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.