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Finding the Third Proportional to 802,956,278 and 1,227,513,264

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Solution

The third proportional to 802,956,278 and 1,227,513,264 is: 1,876,551,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,956,278 : 1,227,513,264 = 1,227,513,264 : x
  2. Step 2: Convert to fraction form
    802,956,278/1,227,513,264 = 1,227,513,264/x
  3. Step 3: Cross multiply
    802,956,278x = 1,227,513,264 × 1,227,513,264
  4. Step 4: Simplify right side
    802,956,278x = 1,506,788,813,295,933,696
  5. Step 5: Solve for x
    x = 1,506,788,813,295,933,696/802,956,278
  6. Step 6: Final answer
    x = 1,876,551,506.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.