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Finding the Third Proportional to 760,103,892 and 1,175,061,510

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Solution

The third proportional to 760,103,892 and 1,175,061,510 is: 1,816,553,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,103,892 : 1,175,061,510 = 1,175,061,510 : x
  2. Step 2: Convert to fraction form
    760,103,892/1,175,061,510 = 1,175,061,510/x
  3. Step 3: Cross multiply
    760,103,892x = 1,175,061,510 × 1,175,061,510
  4. Step 4: Simplify right side
    760,103,892x = 1,380,769,552,283,480,064
  5. Step 5: Solve for x
    x = 1,380,769,552,283,480,064/760,103,892
  6. Step 6: Final answer
    x = 1,816,553,719.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.