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Finding the Third Proportional to 697,008 and 1,025,088

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Solution

The third proportional to 697,008 and 1,025,088 is: 1,507,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,008 : 1,025,088 = 1,025,088 : x
  2. Step 2: Convert to fraction form
    697,008/1,025,088 = 1,025,088/x
  3. Step 3: Cross multiply
    697,008x = 1,025,088 × 1,025,088
  4. Step 4: Simplify right side
    697,008x = 1,050,805,407,744
  5. Step 5: Solve for x
    x = 1,050,805,407,744/697,008
  6. Step 6: Final answer
    x = 1,507,594.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.