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Finding the Third Proportional to 931,532.91 and 1,406,154.94

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Solution

The third proportional to 931,532.91 and 1,406,154.94 is: 2,122,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,532.91 : 1,406,154.94 = 1,406,154.94 : x
  2. Step 2: Convert to fraction form
    931,532.91/1,406,154.94 = 1,406,154.94/x
  3. Step 3: Cross multiply
    931,532.91x = 1,406,154.94 × 1,406,154.94
  4. Step 4: Simplify right side
    931,532.91x = 1,977,271,708,255.63
  5. Step 5: Solve for x
    x = 1,977,271,708,255.63/931,532.91
  6. Step 6: Final answer
    x = 2,122,599.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.