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Finding the Third Proportional to 594,693.14 and 957,547.20

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Solution

The third proportional to 594,693.14 and 957,547.20 is: 1,541,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,693.14 : 957,547.20 = 957,547.20 : x
  2. Step 2: Convert to fraction form
    594,693.14/957,547.20 = 957,547.20/x
  3. Step 3: Cross multiply
    594,693.14x = 957,547.20 × 957,547.20
  4. Step 4: Simplify right side
    594,693.14x = 916,896,631,250.84
  5. Step 5: Solve for x
    x = 916,896,631,250.84/594,693.14
  6. Step 6: Final answer
    x = 1,541,797.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.