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Finding the Third Proportional to 699,535 and 1,506,093

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Solution

The third proportional to 699,535 and 1,506,093 is: 3,242,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,535 : 1,506,093 = 1,506,093 : x
  2. Step 2: Convert to fraction form
    699,535/1,506,093 = 1,506,093/x
  3. Step 3: Cross multiply
    699,535x = 1,506,093 × 1,506,093
  4. Step 4: Simplify right side
    699,535x = 2,268,316,124,649
  5. Step 5: Solve for x
    x = 2,268,316,124,649/699,535
  6. Step 6: Final answer
    x = 3,242,605.62

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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.