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Finding the Third Proportional to 794,267,298 and 1,731,547,395

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Solution

The third proportional to 794,267,298 and 1,731,547,395 is: 3,774,870,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,267,298 : 1,731,547,395 = 1,731,547,395 : x
  2. Step 2: Convert to fraction form
    794,267,298/1,731,547,395 = 1,731,547,395/x
  3. Step 3: Cross multiply
    794,267,298x = 1,731,547,395 × 1,731,547,395
  4. Step 4: Simplify right side
    794,267,298x = 2,998,256,381,131,286,016
  5. Step 5: Solve for x
    x = 2,998,256,381,131,286,016/794,267,298
  6. Step 6: Final answer
    x = 3,774,870,737.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.