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Finding the Third Proportional to 529,348 and 1,249,415

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Solution

The third proportional to 529,348 and 1,249,415 is: 2,948,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,348 : 1,249,415 = 1,249,415 : x
  2. Step 2: Convert to fraction form
    529,348/1,249,415 = 1,249,415/x
  3. Step 3: Cross multiply
    529,348x = 1,249,415 × 1,249,415
  4. Step 4: Simplify right side
    529,348x = 1,561,037,842,225
  5. Step 5: Solve for x
    x = 1,561,037,842,225/529,348
  6. Step 6: Final answer
    x = 2,948,982.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.