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Finding the Third Proportional to 952,920 and 1,429,702

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Solution

The third proportional to 952,920 and 1,429,702 is: 2,145,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,920 : 1,429,702 = 1,429,702 : x
  2. Step 2: Convert to fraction form
    952,920/1,429,702 = 1,429,702/x
  3. Step 3: Cross multiply
    952,920x = 1,429,702 × 1,429,702
  4. Step 4: Simplify right side
    952,920x = 2,044,047,808,804
  5. Step 5: Solve for x
    x = 2,044,047,808,804/952,920
  6. Step 6: Final answer
    x = 2,145,036.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.