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Finding the Third Proportional to 697,688 and 1,501,864

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Solution

The third proportional to 697,688 and 1,501,864 is: 3,232,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,688 : 1,501,864 = 1,501,864 : x
  2. Step 2: Convert to fraction form
    697,688/1,501,864 = 1,501,864/x
  3. Step 3: Cross multiply
    697,688x = 1,501,864 × 1,501,864
  4. Step 4: Simplify right side
    697,688x = 2,255,595,474,496
  5. Step 5: Solve for x
    x = 2,255,595,474,496/697,688
  6. Step 6: Final answer
    x = 3,232,957.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.