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Finding the Third Proportional to 671,835 and 1,461,762

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Solution

The third proportional to 671,835 and 1,461,762 is: 3,180,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,835 : 1,461,762 = 1,461,762 : x
  2. Step 2: Convert to fraction form
    671,835/1,461,762 = 1,461,762/x
  3. Step 3: Cross multiply
    671,835x = 1,461,762 × 1,461,762
  4. Step 4: Simplify right side
    671,835x = 2,136,748,144,644
  5. Step 5: Solve for x
    x = 2,136,748,144,644/671,835
  6. Step 6: Final answer
    x = 3,180,465.66

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