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Finding the Third Proportional to 831,778,904 and 1,189,361,572

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Solution

The third proportional to 831,778,904 and 1,189,361,572 is: 1,700,669,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,778,904 : 1,189,361,572 = 1,189,361,572 : x
  2. Step 2: Convert to fraction form
    831,778,904/1,189,361,572 = 1,189,361,572/x
  3. Step 3: Cross multiply
    831,778,904x = 1,189,361,572 × 1,189,361,572
  4. Step 4: Simplify right side
    831,778,904x = 1,414,580,948,950,311,168
  5. Step 5: Solve for x
    x = 1,414,580,948,950,311,168/831,778,904
  6. Step 6: Final answer
    x = 1,700,669,423.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.