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Finding the Third Proportional to 1,310,964 and 1,771,209

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Solution

The third proportional to 1,310,964 and 1,771,209 is: 2,393,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,964 : 1,771,209 = 1,771,209 : x
  2. Step 2: Convert to fraction form
    1,310,964/1,771,209 = 1,771,209/x
  3. Step 3: Cross multiply
    1,310,964x = 1,771,209 × 1,771,209
  4. Step 4: Simplify right side
    1,310,964x = 3,137,181,321,681
  5. Step 5: Solve for x
    x = 3,137,181,321,681/1,310,964
  6. Step 6: Final answer
    x = 2,393,033.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.