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Finding the Third Proportional to 1,030,547.81 and 2,198,071.69

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Solution

The third proportional to 1,030,547.81 and 2,198,071.69 is: 4,688,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,547.81 : 2,198,071.69 = 2,198,071.69 : x
  2. Step 2: Convert to fraction form
    1,030,547.81/2,198,071.69 = 2,198,071.69/x
  3. Step 3: Cross multiply
    1,030,547.81x = 2,198,071.69 × 2,198,071.69
  4. Step 4: Simplify right side
    1,030,547.81x = 4,831,519,143,389.10
  5. Step 5: Solve for x
    x = 4,831,519,143,389.10/1,030,547.81
  6. Step 6: Final answer
    x = 4,688,301.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.