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Finding the Third Proportional to 929,046 and 1,357,737

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Solution

The third proportional to 929,046 and 1,357,737 is: 1,984,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,046 : 1,357,737 = 1,357,737 : x
  2. Step 2: Convert to fraction form
    929,046/1,357,737 = 1,357,737/x
  3. Step 3: Cross multiply
    929,046x = 1,357,737 × 1,357,737
  4. Step 4: Simplify right side
    929,046x = 1,843,449,761,169
  5. Step 5: Solve for x
    x = 1,843,449,761,169/929,046
  6. Step 6: Final answer
    x = 1,984,239.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.