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Finding the Third Proportional to 962,658 and 1,496,637

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Solution

The third proportional to 962,658 and 1,496,637 is: 2,326,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,658 : 1,496,637 = 1,496,637 : x
  2. Step 2: Convert to fraction form
    962,658/1,496,637 = 1,496,637/x
  3. Step 3: Cross multiply
    962,658x = 1,496,637 × 1,496,637
  4. Step 4: Simplify right side
    962,658x = 2,239,922,309,769
  5. Step 5: Solve for x
    x = 2,239,922,309,769/962,658
  6. Step 6: Final answer
    x = 2,326,810.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.