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Finding the Third Proportional to 1,658,664.84 and 3,547,944.28

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Solution

The third proportional to 1,658,664.84 and 3,547,944.28 is: 7,589,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,664.84 : 3,547,944.28 = 3,547,944.28 : x
  2. Step 2: Convert to fraction form
    1,658,664.84/3,547,944.28 = 3,547,944.28/x
  3. Step 3: Cross multiply
    1,658,664.84x = 3,547,944.28 × 3,547,944.28
  4. Step 4: Simplify right side
    1,658,664.84x = 12,587,908,622,854.58
  5. Step 5: Solve for x
    x = 12,587,908,622,854.58/1,658,664.84
  6. Step 6: Final answer
    x = 7,589,181.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.