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Finding the Third Proportional to 466,430,465 and 1,020,726,210

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Solution

The third proportional to 466,430,465 and 1,020,726,210 is: 2,233,734,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,430,465 : 1,020,726,210 = 1,020,726,210 : x
  2. Step 2: Convert to fraction form
    466,430,465/1,020,726,210 = 1,020,726,210/x
  3. Step 3: Cross multiply
    466,430,465x = 1,020,726,210 × 1,020,726,210
  4. Step 4: Simplify right side
    466,430,465x = 1,041,881,995,780,964,096
  5. Step 5: Solve for x
    x = 1,041,881,995,780,964,096/466,430,465
  6. Step 6: Final answer
    x = 2,233,734,873.60

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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.