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Finding the Third Proportional to 646,870,889 and 1,056,170,141

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Solution

The third proportional to 646,870,889 and 1,056,170,141 is: 1,724,448,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,870,889 : 1,056,170,141 = 1,056,170,141 : x
  2. Step 2: Convert to fraction form
    646,870,889/1,056,170,141 = 1,056,170,141/x
  3. Step 3: Cross multiply
    646,870,889x = 1,056,170,141 × 1,056,170,141
  4. Step 4: Simplify right side
    646,870,889x = 1,115,495,366,739,959,936
  5. Step 5: Solve for x
    x = 1,115,495,366,739,959,936/646,870,889
  6. Step 6: Final answer
    x = 1,724,448,241.08

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.