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Finding the Third Proportional to 491,592,972 and 1,053,304,915

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Solution

The third proportional to 491,592,972 and 1,053,304,915 is: 2,256,849,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592,972 : 1,053,304,915 = 1,053,304,915 : x
  2. Step 2: Convert to fraction form
    491,592,972/1,053,304,915 = 1,053,304,915/x
  3. Step 3: Cross multiply
    491,592,972x = 1,053,304,915 × 1,053,304,915
  4. Step 4: Simplify right side
    491,592,972x = 1,109,451,243,963,157,248
  5. Step 5: Solve for x
    x = 1,109,451,243,963,157,248/491,592,972
  6. Step 6: Final answer
    x = 2,256,849,278.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.