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Finding the Third Proportional to 1,160,821 and 1,576,365

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Solution

The third proportional to 1,160,821 and 1,576,365 is: 2,140,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,821 : 1,576,365 = 1,576,365 : x
  2. Step 2: Convert to fraction form
    1,160,821/1,576,365 = 1,576,365/x
  3. Step 3: Cross multiply
    1,160,821x = 1,576,365 × 1,576,365
  4. Step 4: Simplify right side
    1,160,821x = 2,484,926,613,225
  5. Step 5: Solve for x
    x = 2,484,926,613,225/1,160,821
  6. Step 6: Final answer
    x = 2,140,663.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.