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Finding the Third Proportional to 759,948 and 1,185,929

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Solution

The third proportional to 759,948 and 1,185,929 is: 1,850,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,948 : 1,185,929 = 1,185,929 : x
  2. Step 2: Convert to fraction form
    759,948/1,185,929 = 1,185,929/x
  3. Step 3: Cross multiply
    759,948x = 1,185,929 × 1,185,929
  4. Step 4: Simplify right side
    759,948x = 1,406,427,593,041
  5. Step 5: Solve for x
    x = 1,406,427,593,041/759,948
  6. Step 6: Final answer
    x = 1,850,689.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.