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Finding the Third Proportional to 875,994 and 968,154

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Solution

The third proportional to 875,994 and 968,154 is: 1,070,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,994 : 968,154 = 968,154 : x
  2. Step 2: Convert to fraction form
    875,994/968,154 = 968,154/x
  3. Step 3: Cross multiply
    875,994x = 968,154 × 968,154
  4. Step 4: Simplify right side
    875,994x = 937,322,167,716
  5. Step 5: Solve for x
    x = 937,322,167,716/875,994
  6. Step 6: Final answer
    x = 1,070,009.80

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.