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Finding the Third Proportional to 687,630 and 1,051,213.50

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Solution

The third proportional to 687,630 and 1,051,213.50 is: 1,607,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,630 : 1,051,213.50 = 1,051,213.50 : x
  2. Step 2: Convert to fraction form
    687,630/1,051,213.50 = 1,051,213.50/x
  3. Step 3: Cross multiply
    687,630x = 1,051,213.50 × 1,051,213.50
  4. Step 4: Simplify right side
    687,630x = 1,105,049,822,582.25
  5. Step 5: Solve for x
    x = 1,105,049,822,582.25/687,630
  6. Step 6: Final answer
    x = 1,607,041.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.