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Finding the Third Proportional to 1,849,766.31 and 4,035,681.35

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Solution

The third proportional to 1,849,766.31 and 4,035,681.35 is: 8,804,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,766.31 : 4,035,681.35 = 4,035,681.35 : x
  2. Step 2: Convert to fraction form
    1,849,766.31/4,035,681.35 = 4,035,681.35/x
  3. Step 3: Cross multiply
    1,849,766.31x = 4,035,681.35 × 4,035,681.35
  4. Step 4: Simplify right side
    1,849,766.31x = 16,286,723,971,349.33
  5. Step 5: Solve for x
    x = 16,286,723,971,349.33/1,849,766.31
  6. Step 6: Final answer
    x = 8,804,746.79

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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.