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Finding the Third Proportional to 2,326,574 and 3,475,968

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Solution

The third proportional to 2,326,574 and 3,475,968 is: 5,193,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,574 : 3,475,968 = 3,475,968 : x
  2. Step 2: Convert to fraction form
    2,326,574/3,475,968 = 3,475,968/x
  3. Step 3: Cross multiply
    2,326,574x = 3,475,968 × 3,475,968
  4. Step 4: Simplify right side
    2,326,574x = 12,082,353,537,024
  5. Step 5: Solve for x
    x = 12,082,353,537,024/2,326,574
  6. Step 6: Final answer
    x = 5,193,195.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.