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Finding the Third Proportional to 472,395,482 and 1,030,750,756

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Solution

The third proportional to 472,395,482 and 1,030,750,756 is: 2,249,062,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,395,482 : 1,030,750,756 = 1,030,750,756 : x
  2. Step 2: Convert to fraction form
    472,395,482/1,030,750,756 = 1,030,750,756/x
  3. Step 3: Cross multiply
    472,395,482x = 1,030,750,756 × 1,030,750,756
  4. Step 4: Simplify right side
    472,395,482x = 1,062,447,120,994,571,520
  5. Step 5: Solve for x
    x = 1,062,447,120,994,571,520/472,395,482
  6. Step 6: Final answer
    x = 2,249,062,832.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.