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Finding the Third Proportional to 759,957 and 1,185,944

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Solution

The third proportional to 759,957 and 1,185,944 is: 1,850,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,957 : 1,185,944 = 1,185,944 : x
  2. Step 2: Convert to fraction form
    759,957/1,185,944 = 1,185,944/x
  3. Step 3: Cross multiply
    759,957x = 1,185,944 × 1,185,944
  4. Step 4: Simplify right side
    759,957x = 1,406,463,171,136
  5. Step 5: Solve for x
    x = 1,406,463,171,136/759,957
  6. Step 6: Final answer
    x = 1,850,714.15

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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.