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Finding the Third Proportional to 529,536 and 1,249,014

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Solution

The third proportional to 529,536 and 1,249,014 is: 2,946,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,536 : 1,249,014 = 1,249,014 : x
  2. Step 2: Convert to fraction form
    529,536/1,249,014 = 1,249,014/x
  3. Step 3: Cross multiply
    529,536x = 1,249,014 × 1,249,014
  4. Step 4: Simplify right side
    529,536x = 1,560,035,972,196
  5. Step 5: Solve for x
    x = 1,560,035,972,196/529,536
  6. Step 6: Final answer
    x = 2,946,043.28

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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.