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Finding the Third Proportional to 1,158,768.28 and 1,671,722.30

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Solution

The third proportional to 1,158,768.28 and 1,671,722.30 is: 2,411,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,768.28 : 1,671,722.30 = 1,671,722.30 : x
  2. Step 2: Convert to fraction form
    1,158,768.28/1,671,722.30 = 1,671,722.30/x
  3. Step 3: Cross multiply
    1,158,768.28x = 1,671,722.30 × 1,671,722.30
  4. Step 4: Simplify right side
    1,158,768.28x = 2,794,655,437,869.03
  5. Step 5: Solve for x
    x = 2,794,655,437,869.03/1,158,768.28
  6. Step 6: Final answer
    x = 2,411,746.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.