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Finding the Third Proportional to 869,952 and 1,330,929

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Solution

The third proportional to 869,952 and 1,330,929 is: 2,036,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,952 : 1,330,929 = 1,330,929 : x
  2. Step 2: Convert to fraction form
    869,952/1,330,929 = 1,330,929/x
  3. Step 3: Cross multiply
    869,952x = 1,330,929 × 1,330,929
  4. Step 4: Simplify right side
    869,952x = 1,771,372,003,041
  5. Step 5: Solve for x
    x = 1,771,372,003,041/869,952
  6. Step 6: Final answer
    x = 2,036,172.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.