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Finding the Third Proportional to 405,585 and 938,903.63

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Solution

The third proportional to 405,585 and 938,903.63 is: 2,173,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,585 : 938,903.63 = 938,903.63 : x
  2. Step 2: Convert to fraction form
    405,585/938,903.63 = 938,903.63/x
  3. Step 3: Cross multiply
    405,585x = 938,903.63 × 938,903.63
  4. Step 4: Simplify right side
    405,585x = 881,540,017,038.14
  5. Step 5: Solve for x
    x = 881,540,017,038.14/405,585
  6. Step 6: Final answer
    x = 2,173,502.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.