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Finding the Third Proportional to 593,776 and 1,294,114

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Solution

The third proportional to 593,776 and 1,294,114 is: 2,820,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,776 : 1,294,114 = 1,294,114 : x
  2. Step 2: Convert to fraction form
    593,776/1,294,114 = 1,294,114/x
  3. Step 3: Cross multiply
    593,776x = 1,294,114 × 1,294,114
  4. Step 4: Simplify right side
    593,776x = 1,674,731,044,996
  5. Step 5: Solve for x
    x = 1,674,731,044,996/593,776
  6. Step 6: Final answer
    x = 2,820,476.15

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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.