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Finding the Third Proportional to 645,445 and 1,404,887

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Solution

The third proportional to 645,445 and 1,404,887 is: 3,057,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,445 : 1,404,887 = 1,404,887 : x
  2. Step 2: Convert to fraction form
    645,445/1,404,887 = 1,404,887/x
  3. Step 3: Cross multiply
    645,445x = 1,404,887 × 1,404,887
  4. Step 4: Simplify right side
    645,445x = 1,973,707,482,769
  5. Step 5: Solve for x
    x = 1,973,707,482,769/645,445
  6. Step 6: Final answer
    x = 3,057,901.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.