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Finding the Third Proportional to 924,927 and 1,452,955.50

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Solution

The third proportional to 924,927 and 1,452,955.50 is: 2,282,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,927 : 1,452,955.50 = 1,452,955.50 : x
  2. Step 2: Convert to fraction form
    924,927/1,452,955.50 = 1,452,955.50/x
  3. Step 3: Cross multiply
    924,927x = 1,452,955.50 × 1,452,955.50
  4. Step 4: Simplify right side
    924,927x = 2,111,079,684,980.25
  5. Step 5: Solve for x
    x = 2,111,079,684,980.25/924,927
  6. Step 6: Final answer
    x = 2,282,428.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.