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Finding the Third Proportional to 623,838 and 991,748

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Solution

The third proportional to 623,838 and 991,748 is: 1,576,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,838 : 991,748 = 991,748 : x
  2. Step 2: Convert to fraction form
    623,838/991,748 = 991,748/x
  3. Step 3: Cross multiply
    623,838x = 991,748 × 991,748
  4. Step 4: Simplify right side
    623,838x = 983,564,095,504
  5. Step 5: Solve for x
    x = 983,564,095,504/623,838
  6. Step 6: Final answer
    x = 1,576,633.83

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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.