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Finding the Third Proportional to 1,576,716 and 3,265,428

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Solution

The third proportional to 1,576,716 and 3,265,428 is: 6,762,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,716 : 3,265,428 = 3,265,428 : x
  2. Step 2: Convert to fraction form
    1,576,716/3,265,428 = 3,265,428/x
  3. Step 3: Cross multiply
    1,576,716x = 3,265,428 × 3,265,428
  4. Step 4: Simplify right side
    1,576,716x = 10,663,020,023,184
  5. Step 5: Solve for x
    x = 10,663,020,023,184/1,576,716
  6. Step 6: Final answer
    x = 6,762,803.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.