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Finding the Third Proportional to 997,926 and 1,563,646.50

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Solution

The third proportional to 997,926 and 1,563,646.50 is: 2,450,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,926 : 1,563,646.50 = 1,563,646.50 : x
  2. Step 2: Convert to fraction form
    997,926/1,563,646.50 = 1,563,646.50/x
  3. Step 3: Cross multiply
    997,926x = 1,563,646.50 × 1,563,646.50
  4. Step 4: Simplify right side
    997,926x = 2,444,990,376,962.25
  5. Step 5: Solve for x
    x = 2,444,990,376,962.25/997,926
  6. Step 6: Final answer
    x = 2,450,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.