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Finding the Third Proportional to 511,742,240 and 748,420,959

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Solution

The third proportional to 511,742,240 and 748,420,959 is: 1,094,562,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,742,240 : 748,420,959 = 748,420,959 : x
  2. Step 2: Convert to fraction form
    511,742,240/748,420,959 = 748,420,959/x
  3. Step 3: Cross multiply
    511,742,240x = 748,420,959 × 748,420,959
  4. Step 4: Simplify right side
    511,742,240x = 560,133,931,870,479,680
  5. Step 5: Solve for x
    x = 560,133,931,870,479,680/511,742,240
  6. Step 6: Final answer
    x = 1,094,562,629.56

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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.