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Finding the Third Proportional to 646,913 and 926,332

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Solution

The third proportional to 646,913 and 926,332 is: 1,326,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,913 : 926,332 = 926,332 : x
  2. Step 2: Convert to fraction form
    646,913/926,332 = 926,332/x
  3. Step 3: Cross multiply
    646,913x = 926,332 × 926,332
  4. Step 4: Simplify right side
    646,913x = 858,090,974,224
  5. Step 5: Solve for x
    x = 858,090,974,224/646,913
  6. Step 6: Final answer
    x = 1,326,439.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.