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Finding the Third Proportional to 364,363,439 and 786,785,732

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Solution

The third proportional to 364,363,439 and 786,785,732 is: 1,698,940,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,363,439 : 786,785,732 = 786,785,732 : x
  2. Step 2: Convert to fraction form
    364,363,439/786,785,732 = 786,785,732/x
  3. Step 3: Cross multiply
    364,363,439x = 786,785,732 × 786,785,732
  4. Step 4: Simplify right side
    364,363,439x = 619,031,788,078,775,808
  5. Step 5: Solve for x
    x = 619,031,788,078,775,808/364,363,439
  6. Step 6: Final answer
    x = 1,698,940,458.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.