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Finding the Third Proportional to 566,261 and 1,237,534

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Solution

The third proportional to 566,261 and 1,237,534 is: 2,704,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,261 : 1,237,534 = 1,237,534 : x
  2. Step 2: Convert to fraction form
    566,261/1,237,534 = 1,237,534/x
  3. Step 3: Cross multiply
    566,261x = 1,237,534 × 1,237,534
  4. Step 4: Simplify right side
    566,261x = 1,531,490,401,156
  5. Step 5: Solve for x
    x = 1,531,490,401,156/566,261
  6. Step 6: Final answer
    x = 2,704,566.27

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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.