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Finding the Third Proportional to 803,046 and 1,174,356

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Solution

The third proportional to 803,046 and 1,174,356 is: 1,717,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,046 : 1,174,356 = 1,174,356 : x
  2. Step 2: Convert to fraction form
    803,046/1,174,356 = 1,174,356/x
  3. Step 3: Cross multiply
    803,046x = 1,174,356 × 1,174,356
  4. Step 4: Simplify right side
    803,046x = 1,379,112,014,736
  5. Step 5: Solve for x
    x = 1,379,112,014,736/803,046
  6. Step 6: Final answer
    x = 1,717,351.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.