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Finding the Third Proportional to 1,078,202,322 and 1,576,868,211

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Solution

The third proportional to 1,078,202,322 and 1,576,868,211 is: 2,306,165,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,202,322 : 1,576,868,211 = 1,576,868,211 : x
  2. Step 2: Convert to fraction form
    1,078,202,322/1,576,868,211 = 1,576,868,211/x
  3. Step 3: Cross multiply
    1,078,202,322x = 1,576,868,211 × 1,576,868,211
  4. Step 4: Simplify right side
    1,078,202,322x = 2,486,513,354,862,340,608
  5. Step 5: Solve for x
    x = 2,486,513,354,862,340,608/1,078,202,322
  6. Step 6: Final answer
    x = 2,306,165,831.89

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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.