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Finding the Third Proportional to 854,038.69 and 1,857,547.69

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Solution

The third proportional to 854,038.69 and 1,857,547.69 is: 4,040,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,038.69 : 1,857,547.69 = 1,857,547.69 : x
  2. Step 2: Convert to fraction form
    854,038.69/1,857,547.69 = 1,857,547.69/x
  3. Step 3: Cross multiply
    854,038.69x = 1,857,547.69 × 1,857,547.69
  4. Step 4: Simplify right side
    854,038.69x = 3,450,483,411,336.60
  5. Step 5: Solve for x
    x = 3,450,483,411,336.60/854,038.69
  6. Step 6: Final answer
    x = 4,040,195.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.