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Finding the Third Proportional to 709,457 and 1,576,378

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Solution

The third proportional to 709,457 and 1,576,378 is: 3,502,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,457 : 1,576,378 = 1,576,378 : x
  2. Step 2: Convert to fraction form
    709,457/1,576,378 = 1,576,378/x
  3. Step 3: Cross multiply
    709,457x = 1,576,378 × 1,576,378
  4. Step 4: Simplify right side
    709,457x = 2,484,967,598,884
  5. Step 5: Solve for x
    x = 2,484,967,598,884/709,457
  6. Step 6: Final answer
    x = 3,502,633.14

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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.