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Finding the Third Proportional to 472,030 and 1,010,804

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Solution

The third proportional to 472,030 and 1,010,804 is: 2,164,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,030 : 1,010,804 = 1,010,804 : x
  2. Step 2: Convert to fraction form
    472,030/1,010,804 = 1,010,804/x
  3. Step 3: Cross multiply
    472,030x = 1,010,804 × 1,010,804
  4. Step 4: Simplify right side
    472,030x = 1,021,724,726,416
  5. Step 5: Solve for x
    x = 1,021,724,726,416/472,030
  6. Step 6: Final answer
    x = 2,164,533.45

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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.