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Finding the Third Proportional to 770,681 and 1,186,032

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Solution

The third proportional to 770,681 and 1,186,032 is: 1,825,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,681 : 1,186,032 = 1,186,032 : x
  2. Step 2: Convert to fraction form
    770,681/1,186,032 = 1,186,032/x
  3. Step 3: Cross multiply
    770,681x = 1,186,032 × 1,186,032
  4. Step 4: Simplify right side
    770,681x = 1,406,671,905,024
  5. Step 5: Solve for x
    x = 1,406,671,905,024/770,681
  6. Step 6: Final answer
    x = 1,825,232.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.