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Finding the Third Proportional to 744,027,428 and 1,225,118,982

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Solution

The third proportional to 744,027,428 and 1,225,118,982 is: 2,017,286,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,027,428 : 1,225,118,982 = 1,225,118,982 : x
  2. Step 2: Convert to fraction form
    744,027,428/1,225,118,982 = 1,225,118,982/x
  3. Step 3: Cross multiply
    744,027,428x = 1,225,118,982 × 1,225,118,982
  4. Step 4: Simplify right side
    744,027,428x = 1,500,916,520,056,716,288
  5. Step 5: Solve for x
    x = 1,500,916,520,056,716,288/744,027,428
  6. Step 6: Final answer
    x = 2,017,286,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.