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Finding the Third Proportional to 1,035,006 and 1,570,017

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Solution

The third proportional to 1,035,006 and 1,570,017 is: 2,381,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,006 : 1,570,017 = 1,570,017 : x
  2. Step 2: Convert to fraction form
    1,035,006/1,570,017 = 1,570,017/x
  3. Step 3: Cross multiply
    1,035,006x = 1,570,017 × 1,570,017
  4. Step 4: Simplify right side
    1,035,006x = 2,464,953,380,289
  5. Step 5: Solve for x
    x = 2,464,953,380,289/1,035,006
  6. Step 6: Final answer
    x = 2,381,583.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.