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Finding the Third Proportional to 473,556 and 1,038,792

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Solution

The third proportional to 473,556 and 1,038,792 is: 2,278,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,556 : 1,038,792 = 1,038,792 : x
  2. Step 2: Convert to fraction form
    473,556/1,038,792 = 1,038,792/x
  3. Step 3: Cross multiply
    473,556x = 1,038,792 × 1,038,792
  4. Step 4: Simplify right side
    473,556x = 1,079,088,819,264
  5. Step 5: Solve for x
    x = 1,079,088,819,264/473,556
  6. Step 6: Final answer
    x = 2,278,693.16

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