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Finding the Third Proportional to 699,853 and 1,535,300

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Solution

The third proportional to 699,853 and 1,535,300 is: 3,368,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,853 : 1,535,300 = 1,535,300 : x
  2. Step 2: Convert to fraction form
    699,853/1,535,300 = 1,535,300/x
  3. Step 3: Cross multiply
    699,853x = 1,535,300 × 1,535,300
  4. Step 4: Simplify right side
    699,853x = 2,357,146,090,000
  5. Step 5: Solve for x
    x = 2,357,146,090,000/699,853
  6. Step 6: Final answer
    x = 3,368,058.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.