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Finding the Third Proportional to 832,852.13 and 1,808,416.13

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Solution

The third proportional to 832,852.13 and 1,808,416.13 is: 3,926,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,852.13 : 1,808,416.13 = 1,808,416.13 : x
  2. Step 2: Convert to fraction form
    832,852.13/1,808,416.13 = 1,808,416.13/x
  3. Step 3: Cross multiply
    832,852.13x = 1,808,416.13 × 1,808,416.13
  4. Step 4: Simplify right side
    832,852.13x = 3,270,368,881,160.02
  5. Step 5: Solve for x
    x = 3,270,368,881,160.02/832,852.13
  6. Step 6: Final answer
    x = 3,926,710.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.