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Finding the Third Proportional to 655,535,790 and 1,431,170,685

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Solution

The third proportional to 655,535,790 and 1,431,170,685 is: 3,124,542,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,535,790 : 1,431,170,685 = 1,431,170,685 : x
  2. Step 2: Convert to fraction form
    655,535,790/1,431,170,685 = 1,431,170,685/x
  3. Step 3: Cross multiply
    655,535,790x = 1,431,170,685 × 1,431,170,685
  4. Step 4: Simplify right side
    655,535,790x = 2,048,249,529,603,369,216
  5. Step 5: Solve for x
    x = 2,048,249,529,603,369,216/655,535,790
  6. Step 6: Final answer
    x = 3,124,542,642.60

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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.