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Finding the Third Proportional to 594,228,969 and 1,303,249,248

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Solution

The third proportional to 594,228,969 and 1,303,249,248 is: 2,858,256,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,228,969 : 1,303,249,248 = 1,303,249,248 : x
  2. Step 2: Convert to fraction form
    594,228,969/1,303,249,248 = 1,303,249,248/x
  3. Step 3: Cross multiply
    594,228,969x = 1,303,249,248 × 1,303,249,248
  4. Step 4: Simplify right side
    594,228,969x = 1,698,458,602,412,565,504
  5. Step 5: Solve for x
    x = 1,698,458,602,412,565,504/594,228,969
  6. Step 6: Final answer
    x = 2,858,256,145.39

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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.