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Finding the Third Proportional to 526,324 and 1,142,072

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Solution

The third proportional to 526,324 and 1,142,072 is: 2,478,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,324 : 1,142,072 = 1,142,072 : x
  2. Step 2: Convert to fraction form
    526,324/1,142,072 = 1,142,072/x
  3. Step 3: Cross multiply
    526,324x = 1,142,072 × 1,142,072
  4. Step 4: Simplify right side
    526,324x = 1,304,328,453,184
  5. Step 5: Solve for x
    x = 1,304,328,453,184/526,324
  6. Step 6: Final answer
    x = 2,478,185.40

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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.