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Finding the Third Proportional to 652,461,830 and 988,169,115

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Solution

The third proportional to 652,461,830 and 988,169,115 is: 1,496,605,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,461,830 : 988,169,115 = 988,169,115 : x
  2. Step 2: Convert to fraction form
    652,461,830/988,169,115 = 988,169,115/x
  3. Step 3: Cross multiply
    652,461,830x = 988,169,115 × 988,169,115
  4. Step 4: Simplify right side
    652,461,830x = 976,478,199,839,883,264
  5. Step 5: Solve for x
    x = 976,478,199,839,883,264/652,461,830
  6. Step 6: Final answer
    x = 1,496,605,862.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.