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Finding the Third Proportional to 916,614 and 1,346,827.50

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Solution

The third proportional to 916,614 and 1,346,827.50 is: 1,978,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,614 : 1,346,827.50 = 1,346,827.50 : x
  2. Step 2: Convert to fraction form
    916,614/1,346,827.50 = 1,346,827.50/x
  3. Step 3: Cross multiply
    916,614x = 1,346,827.50 × 1,346,827.50
  4. Step 4: Simplify right side
    916,614x = 1,813,944,314,756.25
  5. Step 5: Solve for x
    x = 1,813,944,314,756.25/916,614
  6. Step 6: Final answer
    x = 1,978,962.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.