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Finding the Third Proportional to 842,241,622 and 1,309,292,459

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Solution

The third proportional to 842,241,622 and 1,309,292,459 is: 2,035,338,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,241,622 : 1,309,292,459 = 1,309,292,459 : x
  2. Step 2: Convert to fraction form
    842,241,622/1,309,292,459 = 1,309,292,459/x
  3. Step 3: Cross multiply
    842,241,622x = 1,309,292,459 × 1,309,292,459
  4. Step 4: Simplify right side
    842,241,622x = 1,714,246,743,194,266,624
  5. Step 5: Solve for x
    x = 1,714,246,743,194,266,624/842,241,622
  6. Step 6: Final answer
    x = 2,035,338,433.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.