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Finding the Third Proportional to 477,470 and 1,036,312

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Solution

The third proportional to 477,470 and 1,036,312 is: 2,249,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,470 : 1,036,312 = 1,036,312 : x
  2. Step 2: Convert to fraction form
    477,470/1,036,312 = 1,036,312/x
  3. Step 3: Cross multiply
    477,470x = 1,036,312 × 1,036,312
  4. Step 4: Simplify right side
    477,470x = 1,073,942,561,344
  5. Step 5: Solve for x
    x = 1,073,942,561,344/477,470
  6. Step 6: Final answer
    x = 2,249,235.68

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