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Finding the Third Proportional to 301,286,970 and 652,851,849

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Solution

The third proportional to 301,286,970 and 652,851,849 is: 1,414,649,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,286,970 : 652,851,849 = 652,851,849 : x
  2. Step 2: Convert to fraction form
    301,286,970/652,851,849 = 652,851,849/x
  3. Step 3: Cross multiply
    301,286,970x = 652,851,849 × 652,851,849
  4. Step 4: Simplify right side
    301,286,970x = 426,215,536,742,718,784
  5. Step 5: Solve for x
    x = 426,215,536,742,718,784/301,286,970
  6. Step 6: Final answer
    x = 1,414,649,749.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.