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Finding the Third Proportional to 592,896,642 and 1,287,858,354

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Solution

The third proportional to 592,896,642 and 1,287,858,354 is: 2,797,416,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,896,642 : 1,287,858,354 = 1,287,858,354 : x
  2. Step 2: Convert to fraction form
    592,896,642/1,287,858,354 = 1,287,858,354/x
  3. Step 3: Cross multiply
    592,896,642x = 1,287,858,354 × 1,287,858,354
  4. Step 4: Simplify right side
    592,896,642x = 1,658,579,139,967,589,376
  5. Step 5: Solve for x
    x = 1,658,579,139,967,589,376/592,896,642
  6. Step 6: Final answer
    x = 2,797,416,990.54

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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.