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Finding the Third Proportional to 449,020.13 and 975,547.13

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Solution

The third proportional to 449,020.13 and 975,547.13 is: 2,119,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,020.13 : 975,547.13 = 975,547.13 : x
  2. Step 2: Convert to fraction form
    449,020.13/975,547.13 = 975,547.13/x
  3. Step 3: Cross multiply
    449,020.13x = 975,547.13 × 975,547.13
  4. Step 4: Simplify right side
    449,020.13x = 951,692,193,095.77
  5. Step 5: Solve for x
    x = 951,692,193,095.77/449,020.13
  6. Step 6: Final answer
    x = 2,119,486.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.