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Finding the Third Proportional to 426,323,688 and 933,009,606

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Solution

The third proportional to 426,323,688 and 933,009,606 is: 2,041,891,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,323,688 : 933,009,606 = 933,009,606 : x
  2. Step 2: Convert to fraction form
    426,323,688/933,009,606 = 933,009,606/x
  3. Step 3: Cross multiply
    426,323,688x = 933,009,606 × 933,009,606
  4. Step 4: Simplify right side
    426,323,688x = 870,506,924,888,275,200
  5. Step 5: Solve for x
    x = 870,506,924,888,275,200/426,323,688
  6. Step 6: Final answer
    x = 2,041,891,992.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.