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Finding the Third Proportional to 1,547,507.53 and 3,641,220.21

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Solution

The third proportional to 1,547,507.53 and 3,641,220.21 is: 8,567,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,507.53 : 3,641,220.21 = 3,641,220.21 : x
  2. Step 2: Convert to fraction form
    1,547,507.53/3,641,220.21 = 3,641,220.21/x
  3. Step 3: Cross multiply
    1,547,507.53x = 3,641,220.21 × 3,641,220.21
  4. Step 4: Simplify right side
    1,547,507.53x = 13,258,484,624,539.73
  5. Step 5: Solve for x
    x = 13,258,484,624,539.73/1,547,507.53
  6. Step 6: Final answer
    x = 8,567,638.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.