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Finding the Third Proportional to 884,011.50 and 1,929,946.50

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Solution

The third proportional to 884,011.50 and 1,929,946.50 is: 4,213,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,011.50 : 1,929,946.50 = 1,929,946.50 : x
  2. Step 2: Convert to fraction form
    884,011.50/1,929,946.50 = 1,929,946.50/x
  3. Step 3: Cross multiply
    884,011.50x = 1,929,946.50 × 1,929,946.50
  4. Step 4: Simplify right side
    884,011.50x = 3,724,693,492,862.25
  5. Step 5: Solve for x
    x = 3,724,693,492,862.25/884,011.50
  6. Step 6: Final answer
    x = 4,213,399.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.