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Finding the Third Proportional to 709,410 and 1,576,254

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Solution

The third proportional to 709,410 and 1,576,254 is: 3,502,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,410 : 1,576,254 = 1,576,254 : x
  2. Step 2: Convert to fraction form
    709,410/1,576,254 = 1,576,254/x
  3. Step 3: Cross multiply
    709,410x = 1,576,254 × 1,576,254
  4. Step 4: Simplify right side
    709,410x = 2,484,576,672,516
  5. Step 5: Solve for x
    x = 2,484,576,672,516/709,410
  6. Step 6: Final answer
    x = 3,502,314.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.