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Finding the Third Proportional to 700,063 and 1,496,088

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Solution

The third proportional to 700,063 and 1,496,088 is: 3,197,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,063 : 1,496,088 = 1,496,088 : x
  2. Step 2: Convert to fraction form
    700,063/1,496,088 = 1,496,088/x
  3. Step 3: Cross multiply
    700,063x = 1,496,088 × 1,496,088
  4. Step 4: Simplify right side
    700,063x = 2,238,279,303,744
  5. Step 5: Solve for x
    x = 2,238,279,303,744/700,063
  6. Step 6: Final answer
    x = 3,197,254.11

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Why These Related Problems?

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