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Finding the Third Proportional to 699,526 and 1,506,077

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Solution

The third proportional to 699,526 and 1,506,077 is: 3,242,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,526 : 1,506,077 = 1,506,077 : x
  2. Step 2: Convert to fraction form
    699,526/1,506,077 = 1,506,077/x
  3. Step 3: Cross multiply
    699,526x = 1,506,077 × 1,506,077
  4. Step 4: Simplify right side
    699,526x = 2,268,267,929,929
  5. Step 5: Solve for x
    x = 2,268,267,929,929/699,526
  6. Step 6: Final answer
    x = 3,242,578.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.