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Finding the Third Proportional to 646,308 and 1,382,472

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Solution

The third proportional to 646,308 and 1,382,472 is: 2,957,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,308 : 1,382,472 = 1,382,472 : x
  2. Step 2: Convert to fraction form
    646,308/1,382,472 = 1,382,472/x
  3. Step 3: Cross multiply
    646,308x = 1,382,472 × 1,382,472
  4. Step 4: Simplify right side
    646,308x = 1,911,228,830,784
  5. Step 5: Solve for x
    x = 1,911,228,830,784/646,308
  6. Step 6: Final answer
    x = 2,957,148.65

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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.