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Finding the Third Proportional to 564,580 and 1,211,024

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Solution

The third proportional to 564,580 and 1,211,024 is: 2,597,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,580 : 1,211,024 = 1,211,024 : x
  2. Step 2: Convert to fraction form
    564,580/1,211,024 = 1,211,024/x
  3. Step 3: Cross multiply
    564,580x = 1,211,024 × 1,211,024
  4. Step 4: Simplify right side
    564,580x = 1,466,579,128,576
  5. Step 5: Solve for x
    x = 1,466,579,128,576/564,580
  6. Step 6: Final answer
    x = 2,597,646.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.