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Finding the Third Proportional to 1,413,671.25 and 3,051,547.37

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Solution

The third proportional to 1,413,671.25 and 3,051,547.37 is: 6,587,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,671.25 : 3,051,547.37 = 3,051,547.37 : x
  2. Step 2: Convert to fraction form
    1,413,671.25/3,051,547.37 = 3,051,547.37/x
  3. Step 3: Cross multiply
    1,413,671.25x = 3,051,547.37 × 3,051,547.37
  4. Step 4: Simplify right side
    1,413,671.25x = 9,311,941,349,088.45
  5. Step 5: Solve for x
    x = 9,311,941,349,088.45/1,413,671.25
  6. Step 6: Final answer
    x = 6,587,062.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.