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Finding the Third Proportional to 961,260,522 and 1,973,480,322

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Solution

The third proportional to 961,260,522 and 1,973,480,322 is: 4,051,580,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,522 : 1,973,480,322 = 1,973,480,322 : x
  2. Step 2: Convert to fraction form
    961,260,522/1,973,480,322 = 1,973,480,322/x
  3. Step 3: Cross multiply
    961,260,522x = 1,973,480,322 × 1,973,480,322
  4. Step 4: Simplify right side
    961,260,522x = 3,894,624,581,321,223,680
  5. Step 5: Solve for x
    x = 3,894,624,581,321,223,680/961,260,522
  6. Step 6: Final answer
    x = 4,051,580,702.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.