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Finding the Third Proportional to 873,528 and 1,852,014

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Solution

The third proportional to 873,528 and 1,852,014 is: 3,926,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,528 : 1,852,014 = 1,852,014 : x
  2. Step 2: Convert to fraction form
    873,528/1,852,014 = 1,852,014/x
  3. Step 3: Cross multiply
    873,528x = 1,852,014 × 1,852,014
  4. Step 4: Simplify right side
    873,528x = 3,429,955,856,196
  5. Step 5: Solve for x
    x = 3,429,955,856,196/873,528
  6. Step 6: Final answer
    x = 3,926,555.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.