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Finding the Third Proportional to 1,596,828.09 and 3,502,807.03

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Solution

The third proportional to 1,596,828.09 and 3,502,807.03 is: 7,683,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,828.09 : 3,502,807.03 = 3,502,807.03 : x
  2. Step 2: Convert to fraction form
    1,596,828.09/3,502,807.03 = 3,502,807.03/x
  3. Step 3: Cross multiply
    1,596,828.09x = 3,502,807.03 × 3,502,807.03
  4. Step 4: Simplify right side
    1,596,828.09x = 12,269,657,098,174.44
  5. Step 5: Solve for x
    x = 12,269,657,098,174.44/1,596,828.09
  6. Step 6: Final answer
    x = 7,683,768.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.