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Finding the Third Proportional to 495,570 and 1,049,097

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Solution

The third proportional to 495,570 and 1,049,097 is: 2,220,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,570 : 1,049,097 = 1,049,097 : x
  2. Step 2: Convert to fraction form
    495,570/1,049,097 = 1,049,097/x
  3. Step 3: Cross multiply
    495,570x = 1,049,097 × 1,049,097
  4. Step 4: Simplify right side
    495,570x = 1,100,604,515,409
  5. Step 5: Solve for x
    x = 1,100,604,515,409/495,570
  6. Step 6: Final answer
    x = 2,220,886.08

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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.