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Finding the Third Proportional to 1,070,838 and 1,658,097

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Solution

The third proportional to 1,070,838 and 1,658,097 is: 2,567,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,838 : 1,658,097 = 1,658,097 : x
  2. Step 2: Convert to fraction form
    1,070,838/1,658,097 = 1,658,097/x
  3. Step 3: Cross multiply
    1,070,838x = 1,658,097 × 1,658,097
  4. Step 4: Simplify right side
    1,070,838x = 2,749,285,661,409
  5. Step 5: Solve for x
    x = 2,749,285,661,409/1,070,838
  6. Step 6: Final answer
    x = 2,567,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.