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Finding the Third Proportional to 877,410 and 1,913,472

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Solution

The third proportional to 877,410 and 1,913,472 is: 4,172,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,410 : 1,913,472 = 1,913,472 : x
  2. Step 2: Convert to fraction form
    877,410/1,913,472 = 1,913,472/x
  3. Step 3: Cross multiply
    877,410x = 1,913,472 × 1,913,472
  4. Step 4: Simplify right side
    877,410x = 3,661,375,094,784
  5. Step 5: Solve for x
    x = 3,661,375,094,784/877,410
  6. Step 6: Final answer
    x = 4,172,935.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.