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Finding the Third Proportional to 770,352 and 1,717,730

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Solution

The third proportional to 770,352 and 1,717,730 is: 3,830,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,352 : 1,717,730 = 1,717,730 : x
  2. Step 2: Convert to fraction form
    770,352/1,717,730 = 1,717,730/x
  3. Step 3: Cross multiply
    770,352x = 1,717,730 × 1,717,730
  4. Step 4: Simplify right side
    770,352x = 2,950,596,352,900
  5. Step 5: Solve for x
    x = 2,950,596,352,900/770,352
  6. Step 6: Final answer
    x = 3,830,192.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.