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Finding the Third Proportional to 770,548 and 1,022,712

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Solution

The third proportional to 770,548 and 1,022,712 is: 1,357,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,548 : 1,022,712 = 1,022,712 : x
  2. Step 2: Convert to fraction form
    770,548/1,022,712 = 1,022,712/x
  3. Step 3: Cross multiply
    770,548x = 1,022,712 × 1,022,712
  4. Step 4: Simplify right side
    770,548x = 1,045,939,834,944
  5. Step 5: Solve for x
    x = 1,045,939,834,944/770,548
  6. Step 6: Final answer
    x = 1,357,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.