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Finding the Third Proportional to 1,307,590 and 2,832,178

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Solution

The third proportional to 1,307,590 and 2,832,178 is: 6,134,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,590 : 2,832,178 = 2,832,178 : x
  2. Step 2: Convert to fraction form
    1,307,590/2,832,178 = 2,832,178/x
  3. Step 3: Cross multiply
    1,307,590x = 2,832,178 × 2,832,178
  4. Step 4: Simplify right side
    1,307,590x = 8,021,232,223,684
  5. Step 5: Solve for x
    x = 8,021,232,223,684/1,307,590
  6. Step 6: Final answer
    x = 6,134,363.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.