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Finding the Third Proportional to 1,778,443.50 and 3,902,547.50

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Solution

The third proportional to 1,778,443.50 and 3,902,547.50 is: 8,563,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,443.50 : 3,902,547.50 = 3,902,547.50 : x
  2. Step 2: Convert to fraction form
    1,778,443.50/3,902,547.50 = 3,902,547.50/x
  3. Step 3: Cross multiply
    1,778,443.50x = 3,902,547.50 × 3,902,547.50
  4. Step 4: Simplify right side
    1,778,443.50x = 15,229,876,989,756.25
  5. Step 5: Solve for x
    x = 15,229,876,989,756.25/1,778,443.50
  6. Step 6: Final answer
    x = 8,563,599.01

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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.