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Finding the Third Proportional to 514,337 and 1,128,346

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Solution

The third proportional to 514,337 and 1,128,346 is: 2,475,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,337 : 1,128,346 = 1,128,346 : x
  2. Step 2: Convert to fraction form
    514,337/1,128,346 = 1,128,346/x
  3. Step 3: Cross multiply
    514,337x = 1,128,346 × 1,128,346
  4. Step 4: Simplify right side
    514,337x = 1,273,164,695,716
  5. Step 5: Solve for x
    x = 1,273,164,695,716/514,337
  6. Step 6: Final answer
    x = 2,475,351.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.