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Finding the Third Proportional to 566,262 and 1,237,536

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Solution

The third proportional to 566,262 and 1,237,536 is: 2,704,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,262 : 1,237,536 = 1,237,536 : x
  2. Step 2: Convert to fraction form
    566,262/1,237,536 = 1,237,536/x
  3. Step 3: Cross multiply
    566,262x = 1,237,536 × 1,237,536
  4. Step 4: Simplify right side
    566,262x = 1,531,495,351,296
  5. Step 5: Solve for x
    x = 1,531,495,351,296/566,262
  6. Step 6: Final answer
    x = 2,704,570.24

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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.