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Finding the Third Proportional to 1,357,678.13 and 1,870,210.69

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Solution

The third proportional to 1,357,678.13 and 1,870,210.69 is: 2,576,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,678.13 : 1,870,210.69 = 1,870,210.69 : x
  2. Step 2: Convert to fraction form
    1,357,678.13/1,870,210.69 = 1,870,210.69/x
  3. Step 3: Cross multiply
    1,357,678.13x = 1,870,210.69 × 1,870,210.69
  4. Step 4: Simplify right side
    1,357,678.13x = 3,497,688,015,639.22
  5. Step 5: Solve for x
    x = 3,497,688,015,639.22/1,357,678.13
  6. Step 6: Final answer
    x = 2,576,227.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.