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Finding the Third Proportional to 623,842 and 991,754

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Solution

The third proportional to 623,842 and 991,754 is: 1,576,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,842 : 991,754 = 991,754 : x
  2. Step 2: Convert to fraction form
    623,842/991,754 = 991,754/x
  3. Step 3: Cross multiply
    623,842x = 991,754 × 991,754
  4. Step 4: Simplify right side
    623,842x = 983,575,996,516
  5. Step 5: Solve for x
    x = 983,575,996,516/623,842
  6. Step 6: Final answer
    x = 1,576,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.