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Finding the Third Proportional to 466,629,657 and 999,817,585

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Solution

The third proportional to 466,629,657 and 999,817,585 is: 2,142,245,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,629,657 : 999,817,585 = 999,817,585 : x
  2. Step 2: Convert to fraction form
    466,629,657/999,817,585 = 999,817,585/x
  3. Step 3: Cross multiply
    466,629,657x = 999,817,585 × 999,817,585
  4. Step 4: Simplify right side
    466,629,657x = 999,635,203,275,232,256
  5. Step 5: Solve for x
    x = 999,635,203,275,232,256/466,629,657
  6. Step 6: Final answer
    x = 2,142,245,329.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.