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Finding the Third Proportional to 693,358 and 1,065,268

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Solution

The third proportional to 693,358 and 1,065,268 is: 1,636,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,358 : 1,065,268 = 1,065,268 : x
  2. Step 2: Convert to fraction form
    693,358/1,065,268 = 1,065,268/x
  3. Step 3: Cross multiply
    693,358x = 1,065,268 × 1,065,268
  4. Step 4: Simplify right side
    693,358x = 1,134,795,911,824
  5. Step 5: Solve for x
    x = 1,134,795,911,824/693,358
  6. Step 6: Final answer
    x = 1,636,666.65

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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.