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Finding the Third Proportional to 699,533 and 1,506,089

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Solution

The third proportional to 699,533 and 1,506,089 is: 3,242,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,533 : 1,506,089 = 1,506,089 : x
  2. Step 2: Convert to fraction form
    699,533/1,506,089 = 1,506,089/x
  3. Step 3: Cross multiply
    699,533x = 1,506,089 × 1,506,089
  4. Step 4: Simplify right side
    699,533x = 2,268,304,075,921
  5. Step 5: Solve for x
    x = 2,268,304,075,921/699,533
  6. Step 6: Final answer
    x = 3,242,597.67

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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.