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Finding the Third Proportional to 965,773.13 and 1,537,314.19

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Solution

The third proportional to 965,773.13 and 1,537,314.19 is: 2,447,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,773.13 : 1,537,314.19 = 1,537,314.19 : x
  2. Step 2: Convert to fraction form
    965,773.13/1,537,314.19 = 1,537,314.19/x
  3. Step 3: Cross multiply
    965,773.13x = 1,537,314.19 × 1,537,314.19
  4. Step 4: Simplify right side
    965,773.13x = 2,363,334,911,088.79
  5. Step 5: Solve for x
    x = 2,363,334,911,088.79/965,773.13
  6. Step 6: Final answer
    x = 2,447,091.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.