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Finding the Third Proportional to 656,235 and 1,028,091

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Solution

The third proportional to 656,235 and 1,028,091 is: 1,610,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,235 : 1,028,091 = 1,028,091 : x
  2. Step 2: Convert to fraction form
    656,235/1,028,091 = 1,028,091/x
  3. Step 3: Cross multiply
    656,235x = 1,028,091 × 1,028,091
  4. Step 4: Simplify right side
    656,235x = 1,056,971,104,281
  5. Step 5: Solve for x
    x = 1,056,971,104,281/656,235
  6. Step 6: Final answer
    x = 1,610,659.45

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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.