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Finding the Third Proportional to 462,490 and 1,003,598

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Solution

The third proportional to 462,490 and 1,003,598 is: 2,177,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,490 : 1,003,598 = 1,003,598 : x
  2. Step 2: Convert to fraction form
    462,490/1,003,598 = 1,003,598/x
  3. Step 3: Cross multiply
    462,490x = 1,003,598 × 1,003,598
  4. Step 4: Simplify right side
    462,490x = 1,007,208,945,604
  5. Step 5: Solve for x
    x = 1,007,208,945,604/462,490
  6. Step 6: Final answer
    x = 2,177,796.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.