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Finding the Third Proportional to 500,784,932 and 1,070,488,072

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Solution

The third proportional to 500,784,932 and 1,070,488,072 is: 2,288,297,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,784,932 : 1,070,488,072 = 1,070,488,072 : x
  2. Step 2: Convert to fraction form
    500,784,932/1,070,488,072 = 1,070,488,072/x
  3. Step 3: Cross multiply
    500,784,932x = 1,070,488,072 × 1,070,488,072
  4. Step 4: Simplify right side
    500,784,932x = 1,145,944,712,294,277,120
  5. Step 5: Solve for x
    x = 1,145,944,712,294,277,120/500,784,932
  6. Step 6: Final answer
    x = 2,288,297,109.34

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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.