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Finding the Third Proportional to 740,918,561 and 1,610,972,364

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Solution

The third proportional to 740,918,561 and 1,610,972,364 is: 3,502,722,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,918,561 : 1,610,972,364 = 1,610,972,364 : x
  2. Step 2: Convert to fraction form
    740,918,561/1,610,972,364 = 1,610,972,364/x
  3. Step 3: Cross multiply
    740,918,561x = 1,610,972,364 × 1,610,972,364
  4. Step 4: Simplify right side
    740,918,561x = 2,595,231,957,571,748,352
  5. Step 5: Solve for x
    x = 2,595,231,957,571,748,352/740,918,561
  6. Step 6: Final answer
    x = 3,502,722,288.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.