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Finding the Third Proportional to 697,106 and 1,527,124

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Solution

The third proportional to 697,106 and 1,527,124 is: 3,345,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,106 : 1,527,124 = 1,527,124 : x
  2. Step 2: Convert to fraction form
    697,106/1,527,124 = 1,527,124/x
  3. Step 3: Cross multiply
    697,106x = 1,527,124 × 1,527,124
  4. Step 4: Simplify right side
    697,106x = 2,332,107,711,376
  5. Step 5: Solve for x
    x = 2,332,107,711,376/697,106
  6. Step 6: Final answer
    x = 3,345,413.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.