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Finding the Third Proportional to 1,158,899.06 and 1,704,844.13

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Solution

The third proportional to 1,158,899.06 and 1,704,844.13 is: 2,507,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,899.06 : 1,704,844.13 = 1,704,844.13 : x
  2. Step 2: Convert to fraction form
    1,158,899.06/1,704,844.13 = 1,704,844.13/x
  3. Step 3: Cross multiply
    1,158,899.06x = 1,704,844.13 × 1,704,844.13
  4. Step 4: Simplify right side
    1,158,899.06x = 2,906,493,490,547.02
  5. Step 5: Solve for x
    x = 2,906,493,490,547.02/1,158,899.06
  6. Step 6: Final answer
    x = 2,507,978.12

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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.