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Finding the Third Proportional to 1,160,875.13 and 1,758,869.44

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Solution

The third proportional to 1,160,875.13 and 1,758,869.44 is: 2,664,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,875.13 : 1,758,869.44 = 1,758,869.44 : x
  2. Step 2: Convert to fraction form
    1,160,875.13/1,758,869.44 = 1,758,869.44/x
  3. Step 3: Cross multiply
    1,160,875.13x = 1,758,869.44 × 1,758,869.44
  4. Step 4: Simplify right side
    1,160,875.13x = 3,093,621,698,171.57
  5. Step 5: Solve for x
    x = 3,093,621,698,171.57/1,160,875.13
  6. Step 6: Final answer
    x = 2,664,904.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.