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Finding the Third Proportional to 360,472,842 and 740,055,447

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Solution

The third proportional to 360,472,842 and 740,055,447 is: 1,519,343,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,472,842 : 740,055,447 = 740,055,447 : x
  2. Step 2: Convert to fraction form
    360,472,842/740,055,447 = 740,055,447/x
  3. Step 3: Cross multiply
    360,472,842x = 740,055,447 × 740,055,447
  4. Step 4: Simplify right side
    360,472,842x = 547,682,064,634,369,792
  5. Step 5: Solve for x
    x = 547,682,064,634,369,792/360,472,842
  6. Step 6: Final answer
    x = 1,519,343,486.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.