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Finding the Third Proportional to 706,335.19 and 1,547,034.19

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Solution

The third proportional to 706,335.19 and 1,547,034.19 is: 3,388,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,335.19 : 1,547,034.19 = 1,547,034.19 : x
  2. Step 2: Convert to fraction form
    706,335.19/1,547,034.19 = 1,547,034.19/x
  3. Step 3: Cross multiply
    706,335.19x = 1,547,034.19 × 1,547,034.19
  4. Step 4: Simplify right side
    706,335.19x = 2,393,314,777,293.79
  5. Step 5: Solve for x
    x = 2,393,314,777,293.79/706,335.19
  6. Step 6: Final answer
    x = 3,388,355.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.