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Finding the Third Proportional to 760,584 and 1,629,138

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Solution

The third proportional to 760,584 and 1,629,138 is: 3,489,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,584 : 1,629,138 = 1,629,138 : x
  2. Step 2: Convert to fraction form
    760,584/1,629,138 = 1,629,138/x
  3. Step 3: Cross multiply
    760,584x = 1,629,138 × 1,629,138
  4. Step 4: Simplify right side
    760,584x = 2,654,090,623,044
  5. Step 5: Solve for x
    x = 2,654,090,623,044/760,584
  6. Step 6: Final answer
    x = 3,489,543.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.