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Finding the Third Proportional to 1,547,475.75 and 3,393,886.31

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Solution

The third proportional to 1,547,475.75 and 3,393,886.31 is: 7,443,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,475.75 : 3,393,886.31 = 3,393,886.31 : x
  2. Step 2: Convert to fraction form
    1,547,475.75/3,393,886.31 = 3,393,886.31/x
  3. Step 3: Cross multiply
    1,547,475.75x = 3,393,886.31 × 3,393,886.31
  4. Step 4: Simplify right side
    1,547,475.75x = 11,518,464,302,174.85
  5. Step 5: Solve for x
    x = 11,518,464,302,174.85/1,547,475.75
  6. Step 6: Final answer
    x = 7,443,389.21

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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.