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Finding the Third Proportional to 564,363 and 1,205,274

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Solution

The third proportional to 564,363 and 1,205,274 is: 2,574,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,363 : 1,205,274 = 1,205,274 : x
  2. Step 2: Convert to fraction form
    564,363/1,205,274 = 1,205,274/x
  3. Step 3: Cross multiply
    564,363x = 1,205,274 × 1,205,274
  4. Step 4: Simplify right side
    564,363x = 1,452,685,415,076
  5. Step 5: Solve for x
    x = 1,452,685,415,076/564,363
  6. Step 6: Final answer
    x = 2,574,026.67

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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.