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Finding the Third Proportional to 477,069.75 and 1,020,326.63

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Solution

The third proportional to 477,069.75 and 1,020,326.63 is: 2,182,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,069.75 : 1,020,326.63 = 1,020,326.63 : x
  2. Step 2: Convert to fraction form
    477,069.75/1,020,326.63 = 1,020,326.63/x
  3. Step 3: Cross multiply
    477,069.75x = 1,020,326.63 × 1,020,326.63
  4. Step 4: Simplify right side
    477,069.75x = 1,041,066,421,683.89
  5. Step 5: Solve for x
    x = 1,041,066,421,683.89/477,069.75
  6. Step 6: Final answer
    x = 2,182,210.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.