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Finding the Third Proportional to 1,742,526 and 3,774,648

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Solution

The third proportional to 1,742,526 and 3,774,648 is: 8,176,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,526 : 3,774,648 = 3,774,648 : x
  2. Step 2: Convert to fraction form
    1,742,526/3,774,648 = 3,774,648/x
  3. Step 3: Cross multiply
    1,742,526x = 3,774,648 × 3,774,648
  4. Step 4: Simplify right side
    1,742,526x = 14,247,967,523,904
  5. Step 5: Solve for x
    x = 14,247,967,523,904/1,742,526
  6. Step 6: Final answer
    x = 8,176,616.89

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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.