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Finding the Third Proportional to 697,298 and 1,076,703

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Solution

The third proportional to 697,298 and 1,076,703 is: 1,662,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,298 : 1,076,703 = 1,076,703 : x
  2. Step 2: Convert to fraction form
    697,298/1,076,703 = 1,076,703/x
  3. Step 3: Cross multiply
    697,298x = 1,076,703 × 1,076,703
  4. Step 4: Simplify right side
    697,298x = 1,159,289,350,209
  5. Step 5: Solve for x
    x = 1,159,289,350,209/697,298
  6. Step 6: Final answer
    x = 1,662,545.07

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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.