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Finding the Third Proportional to 975,867,731 and 1,486,682,540

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Solution

The third proportional to 975,867,731 and 1,486,682,540 is: 2,264,881,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,867,731 : 1,486,682,540 = 1,486,682,540 : x
  2. Step 2: Convert to fraction form
    975,867,731/1,486,682,540 = 1,486,682,540/x
  3. Step 3: Cross multiply
    975,867,731x = 1,486,682,540 × 1,486,682,540
  4. Step 4: Simplify right side
    975,867,731x = 2,210,224,974,740,851,712
  5. Step 5: Solve for x
    x = 2,210,224,974,740,851,712/975,867,731
  6. Step 6: Final answer
    x = 2,264,881,709.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.