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Finding the Third Proportional to 564,811 and 1,243,346

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Solution

The third proportional to 564,811 and 1,243,346 is: 2,737,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,811 : 1,243,346 = 1,243,346 : x
  2. Step 2: Convert to fraction form
    564,811/1,243,346 = 1,243,346/x
  3. Step 3: Cross multiply
    564,811x = 1,243,346 × 1,243,346
  4. Step 4: Simplify right side
    564,811x = 1,545,909,275,716
  5. Step 5: Solve for x
    x = 1,545,909,275,716/564,811
  6. Step 6: Final answer
    x = 2,737,038.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.