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Finding the Third Proportional to 1,742,642 and 3,774,788

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Solution

The third proportional to 1,742,642 and 3,774,788 is: 8,176,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,642 : 3,774,788 = 3,774,788 : x
  2. Step 2: Convert to fraction form
    1,742,642/3,774,788 = 3,774,788/x
  3. Step 3: Cross multiply
    1,742,642x = 3,774,788 × 3,774,788
  4. Step 4: Simplify right side
    1,742,642x = 14,249,024,444,944
  5. Step 5: Solve for x
    x = 14,249,024,444,944/1,742,642
  6. Step 6: Final answer
    x = 8,176,679.11

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Why These Related Problems?

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