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Finding the Third Proportional to 529,354 and 1,249,420

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Solution

The third proportional to 529,354 and 1,249,420 is: 2,948,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,354 : 1,249,420 = 1,249,420 : x
  2. Step 2: Convert to fraction form
    529,354/1,249,420 = 1,249,420/x
  3. Step 3: Cross multiply
    529,354x = 1,249,420 × 1,249,420
  4. Step 4: Simplify right side
    529,354x = 1,561,050,336,400
  5. Step 5: Solve for x
    x = 1,561,050,336,400/529,354
  6. Step 6: Final answer
    x = 2,948,972.40

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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.