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Finding the Third Proportional to 732,767 and 1,045,933

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Solution

The third proportional to 732,767 and 1,045,933 is: 1,492,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,767 : 1,045,933 = 1,045,933 : x
  2. Step 2: Convert to fraction form
    732,767/1,045,933 = 1,045,933/x
  3. Step 3: Cross multiply
    732,767x = 1,045,933 × 1,045,933
  4. Step 4: Simplify right side
    732,767x = 1,093,975,840,489
  5. Step 5: Solve for x
    x = 1,093,975,840,489/732,767
  6. Step 6: Final answer
    x = 1,492,938.19

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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.