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Finding the Third Proportional to 788,464 and 1,235,444

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Solution

The third proportional to 788,464 and 1,235,444 is: 1,935,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,464 : 1,235,444 = 1,235,444 : x
  2. Step 2: Convert to fraction form
    788,464/1,235,444 = 1,235,444/x
  3. Step 3: Cross multiply
    788,464x = 1,235,444 × 1,235,444
  4. Step 4: Simplify right side
    788,464x = 1,526,321,877,136
  5. Step 5: Solve for x
    x = 1,526,321,877,136/788,464
  6. Step 6: Final answer
    x = 1,935,816.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.