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Finding the Third Proportional to 944,007,174 and 1,477,598,742

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Solution

The third proportional to 944,007,174 and 1,477,598,742 is: 2,312,798,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,007,174 : 1,477,598,742 = 1,477,598,742 : x
  2. Step 2: Convert to fraction form
    944,007,174/1,477,598,742 = 1,477,598,742/x
  3. Step 3: Cross multiply
    944,007,174x = 1,477,598,742 × 1,477,598,742
  4. Step 4: Simplify right side
    944,007,174x = 2,183,298,042,359,982,592
  5. Step 5: Solve for x
    x = 2,183,298,042,359,982,592/944,007,174
  6. Step 6: Final answer
    x = 2,312,798,146.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.