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Finding the Third Proportional to 935,930 and 1,421,389.50

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Solution

The third proportional to 935,930 and 1,421,389.50 is: 2,158,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,930 : 1,421,389.50 = 1,421,389.50 : x
  2. Step 2: Convert to fraction form
    935,930/1,421,389.50 = 1,421,389.50/x
  3. Step 3: Cross multiply
    935,930x = 1,421,389.50 × 1,421,389.50
  4. Step 4: Simplify right side
    935,930x = 2,020,348,110,710.25
  5. Step 5: Solve for x
    x = 2,020,348,110,710.25/935,930
  6. Step 6: Final answer
    x = 2,158,653.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.