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Finding the Third Proportional to 829,606.50 and 1,742,643

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Solution

The third proportional to 829,606.50 and 1,742,643 is: 3,660,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,606.50 : 1,742,643 = 1,742,643 : x
  2. Step 2: Convert to fraction form
    829,606.50/1,742,643 = 1,742,643/x
  3. Step 3: Cross multiply
    829,606.50x = 1,742,643 × 1,742,643
  4. Step 4: Simplify right side
    829,606.50x = 3,036,804,625,449
  5. Step 5: Solve for x
    x = 3,036,804,625,449/829,606.50
  6. Step 6: Final answer
    x = 3,660,536.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.