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Finding the Third Proportional to 1,148,210.44 and 1,689,098.06

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Solution

The third proportional to 1,148,210.44 and 1,689,098.06 is: 2,484,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,210.44 : 1,689,098.06 = 1,689,098.06 : x
  2. Step 2: Convert to fraction form
    1,148,210.44/1,689,098.06 = 1,689,098.06/x
  3. Step 3: Cross multiply
    1,148,210.44x = 1,689,098.06 × 1,689,098.06
  4. Step 4: Simplify right side
    1,148,210.44x = 2,853,052,264,741.25
  5. Step 5: Solve for x
    x = 2,853,052,264,741.25/1,148,210.44
  6. Step 6: Final answer
    x = 2,484,781.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.