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Finding the Third Proportional to 705,030 and 1,457,484

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Solution

The third proportional to 705,030 and 1,457,484 is: 3,013,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,030 : 1,457,484 = 1,457,484 : x
  2. Step 2: Convert to fraction form
    705,030/1,457,484 = 1,457,484/x
  3. Step 3: Cross multiply
    705,030x = 1,457,484 × 1,457,484
  4. Step 4: Simplify right side
    705,030x = 2,124,259,610,256
  5. Step 5: Solve for x
    x = 2,124,259,610,256/705,030
  6. Step 6: Final answer
    x = 3,013,005.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.