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Finding the Third Proportional to 646,870,897 and 1,056,170,153

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Solution

The third proportional to 646,870,897 and 1,056,170,153 is: 1,724,448,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,870,897 : 1,056,170,153 = 1,056,170,153 : x
  2. Step 2: Convert to fraction form
    646,870,897/1,056,170,153 = 1,056,170,153/x
  3. Step 3: Cross multiply
    646,870,897x = 1,056,170,153 × 1,056,170,153
  4. Step 4: Simplify right side
    646,870,897x = 1,115,495,392,088,043,392
  5. Step 5: Solve for x
    x = 1,115,495,392,088,043,392/646,870,897
  6. Step 6: Final answer
    x = 1,724,448,258.94

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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.