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Finding the Third Proportional to 830,102 and 1,282,009

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Solution

The third proportional to 830,102 and 1,282,009 is: 1,979,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,102 : 1,282,009 = 1,282,009 : x
  2. Step 2: Convert to fraction form
    830,102/1,282,009 = 1,282,009/x
  3. Step 3: Cross multiply
    830,102x = 1,282,009 × 1,282,009
  4. Step 4: Simplify right side
    830,102x = 1,643,547,076,081
  5. Step 5: Solve for x
    x = 1,643,547,076,081/830,102
  6. Step 6: Final answer
    x = 1,979,933.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.