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Finding the Third Proportional to 604,630,880 and 906,788,856

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Solution

The third proportional to 604,630,880 and 906,788,856 is: 1,359,947,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,630,880 : 906,788,856 = 906,788,856 : x
  2. Step 2: Convert to fraction form
    604,630,880/906,788,856 = 906,788,856/x
  3. Step 3: Cross multiply
    604,630,880x = 906,788,856 × 906,788,856
  4. Step 4: Simplify right side
    604,630,880x = 822,266,029,365,788,672
  5. Step 5: Solve for x
    x = 822,266,029,365,788,672/604,630,880
  6. Step 6: Final answer
    x = 1,359,947,129.01

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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.