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Finding the Third Proportional to 778,590 and 1,697,148

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Solution

The third proportional to 778,590 and 1,697,148 is: 3,699,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,590 : 1,697,148 = 1,697,148 : x
  2. Step 2: Convert to fraction form
    778,590/1,697,148 = 1,697,148/x
  3. Step 3: Cross multiply
    778,590x = 1,697,148 × 1,697,148
  4. Step 4: Simplify right side
    778,590x = 2,880,311,333,904
  5. Step 5: Solve for x
    x = 2,880,311,333,904/778,590
  6. Step 6: Final answer
    x = 3,699,394.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.