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Finding the Third Proportional to 1,742,645 and 3,774,807

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Solution

The third proportional to 1,742,645 and 3,774,807 is: 8,176,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,645 : 3,774,807 = 3,774,807 : x
  2. Step 2: Convert to fraction form
    1,742,645/3,774,807 = 3,774,807/x
  3. Step 3: Cross multiply
    1,742,645x = 3,774,807 × 3,774,807
  4. Step 4: Simplify right side
    1,742,645x = 14,249,167,887,249
  5. Step 5: Solve for x
    x = 14,249,167,887,249/1,742,645
  6. Step 6: Final answer
    x = 8,176,747.35

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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.