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Finding the Third Proportional to 634,582.69 and 1,357,737.19

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Solution

The third proportional to 634,582.69 and 1,357,737.19 is: 2,904,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,582.69 : 1,357,737.19 = 1,357,737.19 : x
  2. Step 2: Convert to fraction form
    634,582.69/1,357,737.19 = 1,357,737.19/x
  3. Step 3: Cross multiply
    634,582.69x = 1,357,737.19 × 1,357,737.19
  4. Step 4: Simplify right side
    634,582.69x = 1,843,450,270,320.41
  5. Step 5: Solve for x
    x = 1,843,450,270,320.41/634,582.69
  6. Step 6: Final answer
    x = 2,904,980.40

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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.