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Finding the Third Proportional to 952,564 and 1,312,206

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Solution

The third proportional to 952,564 and 1,312,206 is: 1,807,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,564 : 1,312,206 = 1,312,206 : x
  2. Step 2: Convert to fraction form
    952,564/1,312,206 = 1,312,206/x
  3. Step 3: Cross multiply
    952,564x = 1,312,206 × 1,312,206
  4. Step 4: Simplify right side
    952,564x = 1,721,884,586,436
  5. Step 5: Solve for x
    x = 1,721,884,586,436/952,564
  6. Step 6: Final answer
    x = 1,807,631.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.