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Finding the Third Proportional to 527,748 and 1,152,273

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Solution

The third proportional to 527,748 and 1,152,273 is: 2,515,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,748 : 1,152,273 = 1,152,273 : x
  2. Step 2: Convert to fraction form
    527,748/1,152,273 = 1,152,273/x
  3. Step 3: Cross multiply
    527,748x = 1,152,273 × 1,152,273
  4. Step 4: Simplify right side
    527,748x = 1,327,733,066,529
  5. Step 5: Solve for x
    x = 1,327,733,066,529/527,748
  6. Step 6: Final answer
    x = 2,515,846.70

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