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Finding the Third Proportional to 698,870 and 1,530,040

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Solution

The third proportional to 698,870 and 1,530,040 is: 3,349,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,870 : 1,530,040 = 1,530,040 : x
  2. Step 2: Convert to fraction form
    698,870/1,530,040 = 1,530,040/x
  3. Step 3: Cross multiply
    698,870x = 1,530,040 × 1,530,040
  4. Step 4: Simplify right side
    698,870x = 2,341,022,401,600
  5. Step 5: Solve for x
    x = 2,341,022,401,600/698,870
  6. Step 6: Final answer
    x = 3,349,725.13

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