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Finding the Third Proportional to 765,860.06 and 1,649,877.93

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Solution

The third proportional to 765,860.06 and 1,649,877.93 is: 3,554,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,860.06 : 1,649,877.93 = 1,649,877.93 : x
  2. Step 2: Convert to fraction form
    765,860.06/1,649,877.93 = 1,649,877.93/x
  3. Step 3: Cross multiply
    765,860.06x = 1,649,877.93 × 1,649,877.93
  4. Step 4: Simplify right side
    765,860.06x = 2,722,097,169,980.07
  5. Step 5: Solve for x
    x = 2,722,097,169,980.07/765,860.06
  6. Step 6: Final answer
    x = 3,554,300.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.