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Finding the Third Proportional to 1,658,140 and 3,569,960

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Solution

The third proportional to 1,658,140 and 3,569,960 is: 7,686,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,140 : 3,569,960 = 3,569,960 : x
  2. Step 2: Convert to fraction form
    1,658,140/3,569,960 = 3,569,960/x
  3. Step 3: Cross multiply
    1,658,140x = 3,569,960 × 3,569,960
  4. Step 4: Simplify right side
    1,658,140x = 12,744,614,401,600
  5. Step 5: Solve for x
    x = 12,744,614,401,600/1,658,140
  6. Step 6: Final answer
    x = 7,686,090.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.