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Finding the Third Proportional to 452,496 and 974,928

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Solution

The third proportional to 452,496 and 974,928 is: 2,100,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,496 : 974,928 = 974,928 : x
  2. Step 2: Convert to fraction form
    452,496/974,928 = 974,928/x
  3. Step 3: Cross multiply
    452,496x = 974,928 × 974,928
  4. Step 4: Simplify right side
    452,496x = 950,484,605,184
  5. Step 5: Solve for x
    x = 950,484,605,184/452,496
  6. Step 6: Final answer
    x = 2,100,537.03

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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.