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Finding the Third Proportional to 701,350,528 and 1,116,970,688

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Solution

The third proportional to 701,350,528 and 1,116,970,688 is: 1,778,887,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,350,528 : 1,116,970,688 = 1,116,970,688 : x
  2. Step 2: Convert to fraction form
    701,350,528/1,116,970,688 = 1,116,970,688/x
  3. Step 3: Cross multiply
    701,350,528x = 1,116,970,688 × 1,116,970,688
  4. Step 4: Simplify right side
    701,350,528x = 1,247,623,517,851,193,344
  5. Step 5: Solve for x
    x = 1,247,623,517,851,193,344/701,350,528
  6. Step 6: Final answer
    x = 1,778,887,258.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.