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Finding the Third Proportional to 1,076,313,740 and 1,684,724,968

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Solution

The third proportional to 1,076,313,740 and 1,684,724,968 is: 2,637,054,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,313,740 : 1,684,724,968 = 1,684,724,968 : x
  2. Step 2: Convert to fraction form
    1,076,313,740/1,684,724,968 = 1,684,724,968/x
  3. Step 3: Cross multiply
    1,076,313,740x = 1,684,724,968 × 1,684,724,968
  4. Step 4: Simplify right side
    1,076,313,740x = 2,838,298,217,802,600,960
  5. Step 5: Solve for x
    x = 2,838,298,217,802,600,960/1,076,313,740
  6. Step 6: Final answer
    x = 2,637,054,710.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.