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Finding the Third Proportional to 340,224,364 and 742,027,034

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Solution

The third proportional to 340,224,364 and 742,027,034 is: 1,618,355,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,224,364 : 742,027,034 = 742,027,034 : x
  2. Step 2: Convert to fraction form
    340,224,364/742,027,034 = 742,027,034/x
  3. Step 3: Cross multiply
    340,224,364x = 742,027,034 × 742,027,034
  4. Step 4: Simplify right side
    340,224,364x = 550,604,119,186,837,184
  5. Step 5: Solve for x
    x = 550,604,119,186,837,184/340,224,364
  6. Step 6: Final answer
    x = 1,618,355,936.40

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Why These Related Problems?

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