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Finding the Third Proportional to 459,647,552 and 1,021,330,480

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Solution

The third proportional to 459,647,552 and 1,021,330,480 is: 2,269,382,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,647,552 : 1,021,330,480 = 1,021,330,480 : x
  2. Step 2: Convert to fraction form
    459,647,552/1,021,330,480 = 1,021,330,480/x
  3. Step 3: Cross multiply
    459,647,552x = 1,021,330,480 × 1,021,330,480
  4. Step 4: Simplify right side
    459,647,552x = 1,043,115,949,377,030,400
  5. Step 5: Solve for x
    x = 1,043,115,949,377,030,400/459,647,552
  6. Step 6: Final answer
    x = 2,269,382,149.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.