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Finding the Third Proportional to 565,557 and 1,230,623

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Solution

The third proportional to 565,557 and 1,230,623 is: 2,677,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,557 : 1,230,623 = 1,230,623 : x
  2. Step 2: Convert to fraction form
    565,557/1,230,623 = 1,230,623/x
  3. Step 3: Cross multiply
    565,557x = 1,230,623 × 1,230,623
  4. Step 4: Simplify right side
    565,557x = 1,514,432,968,129
  5. Step 5: Solve for x
    x = 1,514,432,968,129/565,557
  6. Step 6: Final answer
    x = 2,677,772.48

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Why These Related Problems?

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