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Finding the Third Proportional to 804,521,921 and 1,230,175,034

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Solution

The third proportional to 804,521,921 and 1,230,175,034 is: 1,881,030,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,521,921 : 1,230,175,034 = 1,230,175,034 : x
  2. Step 2: Convert to fraction form
    804,521,921/1,230,175,034 = 1,230,175,034/x
  3. Step 3: Cross multiply
    804,521,921x = 1,230,175,034 × 1,230,175,034
  4. Step 4: Simplify right side
    804,521,921x = 1,513,330,614,276,901,120
  5. Step 5: Solve for x
    x = 1,513,330,614,276,901,120/804,521,921
  6. Step 6: Final answer
    x = 1,881,030,926.29

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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.