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Finding the Third Proportional to 700,070 and 1,496,100

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Solution

The third proportional to 700,070 and 1,496,100 is: 3,197,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,070 : 1,496,100 = 1,496,100 : x
  2. Step 2: Convert to fraction form
    700,070/1,496,100 = 1,496,100/x
  3. Step 3: Cross multiply
    700,070x = 1,496,100 × 1,496,100
  4. Step 4: Simplify right side
    700,070x = 2,238,315,210,000
  5. Step 5: Solve for x
    x = 2,238,315,210,000/700,070
  6. Step 6: Final answer
    x = 3,197,273.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.