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Finding the Third Proportional to 645,988,122 and 1,417,040,934

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Solution

The third proportional to 645,988,122 and 1,417,040,934 is: 3,108,424,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988,122 : 1,417,040,934 = 1,417,040,934 : x
  2. Step 2: Convert to fraction form
    645,988,122/1,417,040,934 = 1,417,040,934/x
  3. Step 3: Cross multiply
    645,988,122x = 1,417,040,934 × 1,417,040,934
  4. Step 4: Simplify right side
    645,988,122x = 2,008,005,008,631,592,448
  5. Step 5: Solve for x
    x = 2,008,005,008,631,592,448/645,988,122
  6. Step 6: Final answer
    x = 3,108,424,041.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.