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Finding the Third Proportional to 697,302 and 1,076,711

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Solution

The third proportional to 697,302 and 1,076,711 is: 1,662,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,302 : 1,076,711 = 1,076,711 : x
  2. Step 2: Convert to fraction form
    697,302/1,076,711 = 1,076,711/x
  3. Step 3: Cross multiply
    697,302x = 1,076,711 × 1,076,711
  4. Step 4: Simplify right side
    697,302x = 1,159,306,577,521
  5. Step 5: Solve for x
    x = 1,159,306,577,521/697,302
  6. Step 6: Final answer
    x = 1,662,560.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.