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Finding the Third Proportional to 511,742,832 and 748,421,592

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Solution

The third proportional to 511,742,832 and 748,421,592 is: 1,094,563,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,742,832 : 748,421,592 = 748,421,592 : x
  2. Step 2: Convert to fraction form
    511,742,832/748,421,592 = 748,421,592/x
  3. Step 3: Cross multiply
    511,742,832x = 748,421,592 × 748,421,592
  4. Step 4: Simplify right side
    511,742,832x = 560,134,879,371,814,464
  5. Step 5: Solve for x
    x = 560,134,879,371,814,464/511,742,832
  6. Step 6: Final answer
    x = 1,094,563,214.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.