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Finding the Third Proportional to 458,124 and 986,488

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Solution

The third proportional to 458,124 and 986,488 is: 2,124,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,124 : 986,488 = 986,488 : x
  2. Step 2: Convert to fraction form
    458,124/986,488 = 986,488/x
  3. Step 3: Cross multiply
    458,124x = 986,488 × 986,488
  4. Step 4: Simplify right side
    458,124x = 973,158,574,144
  5. Step 5: Solve for x
    x = 973,158,574,144/458,124
  6. Step 6: Final answer
    x = 2,124,225.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.