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Finding the Third Proportional to 459,072.56 and 999,459

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Solution

The third proportional to 459,072.56 and 999,459 is: 2,175,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,072.56 : 999,459 = 999,459 : x
  2. Step 2: Convert to fraction form
    459,072.56/999,459 = 999,459/x
  3. Step 3: Cross multiply
    459,072.56x = 999,459 × 999,459
  4. Step 4: Simplify right side
    459,072.56x = 998,918,292,681
  5. Step 5: Solve for x
    x = 998,918,292,681/459,072.56
  6. Step 6: Final answer
    x = 2,175,948.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.