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Finding the Third Proportional to 511,742,836 and 748,421,598

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Solution

The third proportional to 511,742,836 and 748,421,598 is: 1,094,563,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,742,836 : 748,421,598 = 748,421,598 : x
  2. Step 2: Convert to fraction form
    511,742,836/748,421,598 = 748,421,598/x
  3. Step 3: Cross multiply
    511,742,836x = 748,421,598 × 748,421,598
  4. Step 4: Simplify right side
    511,742,836x = 560,134,888,352,873,600
  5. Step 5: Solve for x
    x = 560,134,888,352,873,600/511,742,836
  6. Step 6: Final answer
    x = 1,094,563,223.85

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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.