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Finding the Third Proportional to 529,027 and 1,152,459

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Solution

The third proportional to 529,027 and 1,152,459 is: 2,510,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,027 : 1,152,459 = 1,152,459 : x
  2. Step 2: Convert to fraction form
    529,027/1,152,459 = 1,152,459/x
  3. Step 3: Cross multiply
    529,027x = 1,152,459 × 1,152,459
  4. Step 4: Simplify right side
    529,027x = 1,328,161,746,681
  5. Step 5: Solve for x
    x = 1,328,161,746,681/529,027
  6. Step 6: Final answer
    x = 2,510,574.60

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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.