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Finding the Third Proportional to 713,220.19 and 1,044,226.69

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Solution

The third proportional to 713,220.19 and 1,044,226.69 is: 1,528,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,220.19 : 1,044,226.69 = 1,044,226.69 : x
  2. Step 2: Convert to fraction form
    713,220.19/1,044,226.69 = 1,044,226.69/x
  3. Step 3: Cross multiply
    713,220.19x = 1,044,226.69 × 1,044,226.69
  4. Step 4: Simplify right side
    713,220.19x = 1,090,409,374,887.22
  5. Step 5: Solve for x
    x = 1,090,409,374,887.22/713,220.19
  6. Step 6: Final answer
    x = 1,528,853.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.