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Finding the Third Proportional to 1,705,854.94 and 3,710,625.19

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Solution

The third proportional to 1,705,854.94 and 3,710,625.19 is: 8,071,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,854.94 : 3,710,625.19 = 3,710,625.19 : x
  2. Step 2: Convert to fraction form
    1,705,854.94/3,710,625.19 = 3,710,625.19/x
  3. Step 3: Cross multiply
    1,705,854.94x = 3,710,625.19 × 3,710,625.19
  4. Step 4: Simplify right side
    1,705,854.94x = 13,768,739,282,109.41
  5. Step 5: Solve for x
    x = 13,768,739,282,109.41/1,705,854.94
  6. Step 6: Final answer
    x = 8,071,459.64

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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.