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Finding the Third Proportional to 1,079,831,190 and 1,612,670,746

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Solution

The third proportional to 1,079,831,190 and 1,612,670,746 is: 2,408,438,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,831,190 : 1,612,670,746 = 1,612,670,746 : x
  2. Step 2: Convert to fraction form
    1,079,831,190/1,612,670,746 = 1,612,670,746/x
  3. Step 3: Cross multiply
    1,079,831,190x = 1,612,670,746 × 1,612,670,746
  4. Step 4: Simplify right side
    1,079,831,190x = 2,600,706,935,004,196,352
  5. Step 5: Solve for x
    x = 2,600,706,935,004,196,352/1,079,831,190
  6. Step 6: Final answer
    x = 2,408,438,429.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.