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Finding the Third Proportional to 784,693 and 1,110,646

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Solution

The third proportional to 784,693 and 1,110,646 is: 1,571,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,693 : 1,110,646 = 1,110,646 : x
  2. Step 2: Convert to fraction form
    784,693/1,110,646 = 1,110,646/x
  3. Step 3: Cross multiply
    784,693x = 1,110,646 × 1,110,646
  4. Step 4: Simplify right side
    784,693x = 1,233,534,537,316
  5. Step 5: Solve for x
    x = 1,233,534,537,316/784,693
  6. Step 6: Final answer
    x = 1,571,996.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.