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Finding the Third Proportional to 684,417 and 1,032,153

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Solution

The third proportional to 684,417 and 1,032,153 is: 1,556,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,417 : 1,032,153 = 1,032,153 : x
  2. Step 2: Convert to fraction form
    684,417/1,032,153 = 1,032,153/x
  3. Step 3: Cross multiply
    684,417x = 1,032,153 × 1,032,153
  4. Step 4: Simplify right side
    684,417x = 1,065,339,815,409
  5. Step 5: Solve for x
    x = 1,065,339,815,409/684,417
  6. Step 6: Final answer
    x = 1,556,565.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.