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Finding the Third Proportional to 1,097,439.38 and 1,688,957.63

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Solution

The third proportional to 1,097,439.38 and 1,688,957.63 is: 2,599,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,439.38 : 1,688,957.63 = 1,688,957.63 : x
  2. Step 2: Convert to fraction form
    1,097,439.38/1,688,957.63 = 1,688,957.63/x
  3. Step 3: Cross multiply
    1,097,439.38x = 1,688,957.63 × 1,688,957.63
  4. Step 4: Simplify right side
    1,097,439.38x = 2,852,577,859,045.64
  5. Step 5: Solve for x
    x = 2,852,577,859,045.64/1,097,439.38
  6. Step 6: Final answer
    x = 2,599,303.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.