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Finding the Third Proportional to 528,036.47 and 1,084,065.40

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Solution

The third proportional to 528,036.47 and 1,084,065.40 is: 2,225,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,036.47 : 1,084,065.40 = 1,084,065.40 : x
  2. Step 2: Convert to fraction form
    528,036.47/1,084,065.40 = 1,084,065.40/x
  3. Step 3: Cross multiply
    528,036.47x = 1,084,065.40 × 1,084,065.40
  4. Step 4: Simplify right side
    528,036.47x = 1,175,197,788,089.46
  5. Step 5: Solve for x
    x = 1,175,197,788,089.46/528,036.47
  6. Step 6: Final answer
    x = 2,225,599.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.