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Finding the Third Proportional to 1,070,564 and 1,576,275

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Solution

The third proportional to 1,070,564 and 1,576,275 is: 2,320,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,564 : 1,576,275 = 1,576,275 : x
  2. Step 2: Convert to fraction form
    1,070,564/1,576,275 = 1,576,275/x
  3. Step 3: Cross multiply
    1,070,564x = 1,576,275 × 1,576,275
  4. Step 4: Simplify right side
    1,070,564x = 2,484,642,875,625
  5. Step 5: Solve for x
    x = 2,484,642,875,625/1,070,564
  6. Step 6: Final answer
    x = 2,320,872.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.