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Finding the Third Proportional to 1,365,098.06 and 2,966,392.13

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Solution

The third proportional to 1,365,098.06 and 2,966,392.13 is: 6,446,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,098.06 : 2,966,392.13 = 2,966,392.13 : x
  2. Step 2: Convert to fraction form
    1,365,098.06/2,966,392.13 = 2,966,392.13/x
  3. Step 3: Cross multiply
    1,365,098.06x = 2,966,392.13 × 2,966,392.13
  4. Step 4: Simplify right side
    1,365,098.06x = 8,799,482,239,262.02
  5. Step 5: Solve for x
    x = 8,799,482,239,262.02/1,365,098.06
  6. Step 6: Final answer
    x = 6,446,044.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.