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Finding the Third Proportional to 1,865,084.91 and 2,804,547.94

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Solution

The third proportional to 1,865,084.91 and 2,804,547.94 is: 4,217,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,084.91 : 2,804,547.94 = 2,804,547.94 : x
  2. Step 2: Convert to fraction form
    1,865,084.91/2,804,547.94 = 2,804,547.94/x
  3. Step 3: Cross multiply
    1,865,084.91x = 2,804,547.94 × 2,804,547.94
  4. Step 4: Simplify right side
    1,865,084.91x = 7,865,489,133,735.50
  5. Step 5: Solve for x
    x = 7,865,489,133,735.50/1,865,084.91
  6. Step 6: Final answer
    x = 4,217,228.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.