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Finding the Third Proportional to 647,526 and 971,289

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Solution

The third proportional to 647,526 and 971,289 is: 1,456,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,526 : 971,289 = 971,289 : x
  2. Step 2: Convert to fraction form
    647,526/971,289 = 971,289/x
  3. Step 3: Cross multiply
    647,526x = 971,289 × 971,289
  4. Step 4: Simplify right side
    647,526x = 943,402,321,521
  5. Step 5: Solve for x
    x = 943,402,321,521/647,526
  6. Step 6: Final answer
    x = 1,456,933.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.