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Finding the Third Proportional to 1,580,984 and 3,461,776

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Solution

The third proportional to 1,580,984 and 3,461,776 is: 7,580,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,984 : 3,461,776 = 3,461,776 : x
  2. Step 2: Convert to fraction form
    1,580,984/3,461,776 = 3,461,776/x
  3. Step 3: Cross multiply
    1,580,984x = 3,461,776 × 3,461,776
  4. Step 4: Simplify right side
    1,580,984x = 11,983,893,074,176
  5. Step 5: Solve for x
    x = 11,983,893,074,176/1,580,984
  6. Step 6: Final answer
    x = 7,580,021.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.