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Finding the Third Proportional to 604,630,878 and 906,788,853

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Solution

The third proportional to 604,630,878 and 906,788,853 is: 1,359,947,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,630,878 : 906,788,853 = 906,788,853 : x
  2. Step 2: Convert to fraction form
    604,630,878/906,788,853 = 906,788,853/x
  3. Step 3: Cross multiply
    604,630,878x = 906,788,853 × 906,788,853
  4. Step 4: Simplify right side
    604,630,878x = 822,266,023,925,055,616
  5. Step 5: Solve for x
    x = 822,266,023,925,055,616/604,630,878
  6. Step 6: Final answer
    x = 1,359,947,124.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.