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Finding the Third Proportional to 648,240 and 1,400,342

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Solution

The third proportional to 648,240 and 1,400,342 is: 3,025,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,240 : 1,400,342 = 1,400,342 : x
  2. Step 2: Convert to fraction form
    648,240/1,400,342 = 1,400,342/x
  3. Step 3: Cross multiply
    648,240x = 1,400,342 × 1,400,342
  4. Step 4: Simplify right side
    648,240x = 1,960,957,716,964
  5. Step 5: Solve for x
    x = 1,960,957,716,964/648,240
  6. Step 6: Final answer
    x = 3,025,048.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.