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Finding the Third Proportional to 890,505,730 and 1,386,641,826

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Solution

The third proportional to 890,505,730 and 1,386,641,826 is: 2,159,195,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,505,730 : 1,386,641,826 = 1,386,641,826 : x
  2. Step 2: Convert to fraction form
    890,505,730/1,386,641,826 = 1,386,641,826/x
  3. Step 3: Cross multiply
    890,505,730x = 1,386,641,826 × 1,386,641,826
  4. Step 4: Simplify right side
    890,505,730x = 1,922,775,553,612,614,400
  5. Step 5: Solve for x
    x = 1,922,775,553,612,614,400/890,505,730
  6. Step 6: Final answer
    x = 2,159,195,038.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.