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Finding the Third Proportional to 527,038 and 1,154,024

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Solution

The third proportional to 527,038 and 1,154,024 is: 2,526,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,038 : 1,154,024 = 1,154,024 : x
  2. Step 2: Convert to fraction form
    527,038/1,154,024 = 1,154,024/x
  3. Step 3: Cross multiply
    527,038x = 1,154,024 × 1,154,024
  4. Step 4: Simplify right side
    527,038x = 1,331,771,392,576
  5. Step 5: Solve for x
    x = 1,331,771,392,576/527,038
  6. Step 6: Final answer
    x = 2,526,898.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.