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Finding the Third Proportional to 683,330,746 and 1,020,518,307

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Solution

The third proportional to 683,330,746 and 1,020,518,307 is: 1,524,090,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,330,746 : 1,020,518,307 = 1,020,518,307 : x
  2. Step 2: Convert to fraction form
    683,330,746/1,020,518,307 = 1,020,518,307/x
  3. Step 3: Cross multiply
    683,330,746x = 1,020,518,307 × 1,020,518,307
  4. Step 4: Simplify right side
    683,330,746x = 1,041,457,614,922,146,304
  5. Step 5: Solve for x
    x = 1,041,457,614,922,146,304/683,330,746
  6. Step 6: Final answer
    x = 1,524,090,085.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.