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Finding the Third Proportional to 1,742,062 and 3,643,730

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Solution

The third proportional to 1,742,062 and 3,643,730 is: 7,621,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,062 : 3,643,730 = 3,643,730 : x
  2. Step 2: Convert to fraction form
    1,742,062/3,643,730 = 3,643,730/x
  3. Step 3: Cross multiply
    1,742,062x = 3,643,730 × 3,643,730
  4. Step 4: Simplify right side
    1,742,062x = 13,276,768,312,900
  5. Step 5: Solve for x
    x = 13,276,768,312,900/1,742,062
  6. Step 6: Final answer
    x = 7,621,294.94

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.