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Finding the Third Proportional to 646,292 and 1,323,928

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Solution

The third proportional to 646,292 and 1,323,928 is: 2,712,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,292 : 1,323,928 = 1,323,928 : x
  2. Step 2: Convert to fraction form
    646,292/1,323,928 = 1,323,928/x
  3. Step 3: Cross multiply
    646,292x = 1,323,928 × 1,323,928
  4. Step 4: Simplify right side
    646,292x = 1,752,785,349,184
  5. Step 5: Solve for x
    x = 1,752,785,349,184/646,292
  6. Step 6: Final answer
    x = 2,712,064.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.